• Source: 100.000

      • 100.000 may represent either:

      the number 100000 (the point being a thousands separator, as common in many European countries)
      the number 100 known to six significant figures, i.e. 100±0.0005 (here the dot is a decimal separator, as commonly used in much of the English-speaking world)


      See also


      100000 (disambiguation)

    • Source: 100,000

      • 100,000 (one hundred thousand) is the natural number following 99,999 and preceding 100,001. In scientific notation, it is written as 105.


      Terms for 100,000


      In Bangladesh, India, Pakistan and South Asia, one hundred thousand is called a lakh, and is written as 1,00,000. The Thai, Lao, Khmer and Vietnamese languages also have separate words for this number: แสน, ແສນ, សែន (all saen), and ức respectively. The Malagasy word is hetsy.
      In the Netherlands, a 'ton' is a colloquialism for a denomination of 100.000 monetary units. In the guilders period a ton would denote 100.000 guilders. With the introduction of the euro, a ton would come to mean 100.000 euros. The usage is mostly limited to the financial sphere and the buying and selling of houses. It is not used in official settings because of the ambiguity with commonly used metric tonne. While usage is common in the Netherlands, it sees almost no use in Belgium.
      In Cyrillic numerals, it is known as the legion (легион): or .


      Values of 100,000


      In astronomy, 100,000 metres, 100 kilometres, or 100 km (62 miles) is the altitude at which the Fédération Aéronautique Internationale (FAI) defines spaceflight to begin.
      In paleoclimatology, the 100,000-year problem is a mismatch between the temperature record and the modeled incoming solar radiation.
      In the Irish language, céad míle fáilte (pronounced [ˌceːd̪ˠ ˈmʲiːlʲə ˈfˠaːl̠ʲtʲə]) is a popular greeting meaning "a hundred thousand welcomes".


      Selected 6-digit numbers (100,001–999,999)




      = 100,001 to 199,999

      =
      100,003 = smallest 6-digit prime number
      100,128 = smallest triangular number with 6 digits and the 447th triangular number
      100,151 = twin prime with 100,153
      100,153 = twin prime with 100,151
      100,255 = Friedman number
      100,489 = 3172, the smallest 6-digit square
      101,101 = smallest palindromic Carmichael number
      101,723 = smallest prime number whose square is a pandigital number containing each digit from 0 to 9
      102,564 = The smallest parasitic number
      103,049 = Schröder–Hipparchus number
      103,680 = highly totient number
      103,769 = the number of combinatorial types of 5-dimensional parallelohedra
      103,823 = 473, the smallest 6-digit cube and nice Friedman number (−1 + 0 + 3×8×2)3
      104,480 = number of non-isomorphic set-systems of weight 14.
      104,723 = the 9,999th prime number
      104,729 = the 10,000th prime number
      104,869 = the smallest prime number containing every non-prime digit
      104,976 = 184, 3-smooth number
      105,071 = number of triangle-free graphs on 11 vertices
      105,558 = number of partitions of 46
      105,664 = harmonic divisor number
      108,968 = number of signed trees with 11 nodes
      109,376 = automorphic number
      110,880 = 30th highly composite number
      111,111 = repunit
      111,777 = smallest natural number requiring 17 syllables in American English, 19 in British English
      113,634 = Motzkin number for n = 14
      114,243/80,782 ≈ √2
      114,689 = prime factor of F12
      115,975 = Bell number
      116,281 = 3412, square number, centered decagonal number, 18-gonal number
      117,067 = first vampire prime
      117,649 = 76
      117,800 = harmonic divisor number
      120,032 = number of primitive polynomials of degree 22 over GF(2)
      120,284 = Keith number
      120,960 = highly totient number
      121,393 = Fibonacci number
      123,717 = smallest digitally balanced number in base 7
      123,867 = number of trees with 18 unlabeled nodes
      124,754 = number of partitions of 47
      125,673 = logarithmic number
      127,777 = smallest natural number requiring 18 syllables in American English, 20 in British English
      127,912 = Wedderburn–Etherington number
      128,981 = Starts the first prime gap sequence of 2, 4, 6, 8, 10, 12, 14
      129,106 = Keith number
      130,321 = 194
      131,071 = Mersenne prime
      131,072 = 217 and largest determinant of a (real) {0,1}-matrix of order 15.
      131,361 = Leyland number
      134,340 = Pluto's minor planet designation
      135,135 = double factorial of 13
      135,137 = Markov number
      142,129 = 3772, square number, dodecagonal number
      142,857 = Kaprekar number, smallest cyclic number in decimal.
      144,000 = number with religious significance
      147,273 = number of partitions of 48
      147,640 = Keith number
      148,149 = Kaprekar number
      152,381 = unique prime in base 20
      156,146 = Keith number
      155,921 = smallest prime number being the only prime in an interval from 100n to 100n + 99
      160,000 = 204
      160,176 = number of reduced trees with 26 nodes
      161,051 = 115
      161,280 = highly totient number
      166,320 = 31st highly composite number
      167,400 = harmonic divisor number
      167,894 = number of ways to partition {1,2,3,4,5,6,7,8} and then partition each cell (block) into subcells.
      173,525 = number of partitions of 49
      173,600 = harmonic divisor number
      174,680 = Keith number
      174,763 = Wagstaff prime
      176,906 = number of 24-bead necklaces (turning over is allowed) where complements are equivalent
      177,147 = 311
      177,777 = smallest natural number requiring 19 syllables in American English, 21 in British English
      178,478 = Leyland number
      181,440 = highly totient number
      181,819 = Kaprekar number
      182,362 = number of 23-bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed
      183,186 = Keith number
      183,231 = number of partially ordered set with 9 unlabeled elements
      187,110 = Kaprekar number
      189,819 = number of letters in the longest English word, taking 3 hours to pronounce
      194,481 = 214
      195,025 = Pell number, Markov number
      196,418 = Fibonacci number, Markov number
      196,560 = the kissing number in 24 dimensions
      196,883 = the dimension of the smallest nontrivial irreducible representation of the Monster group
      196,884 = the coefficient of q in the Fourier series expansion of the j-invariant. The adjacency of 196883 and 196884 was important in suggesting monstrous moonshine.
      199,999 = prime number.


      = 200,000 to 299,999

      =
      202,717 = k such that the sum of the squares of the first k primes is divisible by k.
      206,098 – Large Schröder number
      206,265 = rounded number of arc seconds in a radian (see also parsec), since ⁠180 × 60 × 60/π⁠ = 206,264.806...
      207,360 = highly totient number
      208,012 = the Catalan number C12
      208,335 = the largest number to be both triangular and square pyramidal
      208,495 = Kaprekar number
      212,159 = smallest unprimeable number ending in 1, 3, 7 or 9
      221,760 = 32nd highly composite number
      222,222 = repdigit
      224,737 = the 20,000th prime number
      227,475 = Riordan number
      234,256 = 224
      237,510 = harmonic divisor number
      238,591 = number of free 13-ominoes
      241,920 = highly totient number
      242,060 = harmonic divisor number
      248,832 = 125, 100,00012, AKA a gross-great-gross (10012 great-grosses); the smallest fifth power that can be represented as the sum of only 6 fifth powers: 125 = 45 + 55 + 65 + 75 + 95 + 115
      253,293 = number of prime knots with 15 crossings
      255,168 = number of ways to play tic tac toe
      262,144 = 218; exponential factorial of 4; a superperfect number
      262,468 = Leyland number
      268,705 = Leyland number
      271,129 – smallest known Sierpiński prime
      274,177 = prime factor of the Fermat number F6
      275,807/195,025 ≈ √2
      276,480 = number of primitive polynomials of degree 24 over GF(2)
      277,200 = 33rd highly composite number
      279,841 = 234
      279,936 = 67
      280,859 = a prime number whose square 78881777881 is tridigital
      291,400 = number of non-equivalent ways of expressing 100,000,000 as the sum of two prime numbers
      293,547 = Wedderburn–Etherington number
      294,001 = smallest weakly prime number in base 10
      294,685 = Markov number
      298,320 = Keith number


      = 300,000 to 399,999

      =
      310,572 = Motzkin number
      314,159 = pi-prime
      316,749 = number of reduced trees with 27 nodes
      317,811 = Fibonacci number
      317,955 = number of trees with 19 unlabeled nodes
      318,682 = Kaprekar number
      325,878 = Fine number
      326,981 = alternating factorial
      329,967 = Kaprekar number
      331,776 = 244
      332,640 = 34th highly composite number; harmonic divisor number
      333,333 = repdigit
      333,667 = sexy prime and unique prime
      333,673 = sexy prime with 333,679
      333,679 = sexy prime with 333,673
      337,500 = 22 × 33 × 55
      337,594 = number of 25-bead necklaces (turning over is allowed) where complements are equivalent
      349,716 = number of 24-bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed
      351,351 = only known odd abundant number that is not the sum of some of its proper, nontrivial (i.e. >1) divisors (sequence A122036 in the OEIS).
      351,352 = Kaprekar number
      355,419 = Keith number
      356,643 = Kaprekar number
      356,960 = number of primitive polynomials of degree 23 over GF(2)
      360,360 = harmonic divisor number; smallest number divisible by the numbers from 1 to 15 (there is no smaller number divisible by the numbers from 1 to 14 since any number divisible by 3 and 5 must be divisible by 15)
      362,880 = 9!, highly totient number
      369,119 = prime number which divides the sum of all primes less than or equal to it
      369,293 = smallest prime with the property that inserting a digit anywhere in the number will always yield a composite
      370,261 = first prime followed by a prime gap of over 100
      371,293 = 135, palindromic in base 12 (15AA5112)
      389,305 = self-descriptive number in base 7
      390,313 = Kaprekar number
      390,625 = 58
      397,585 = Leyland number


      = 400,000 to 499,999

      =
      409,113 = sum of the first nine factorials
      422,481 = smallest number whose fourth power is the sum of three smaller fourth powers
      423,393 = Leyland number
      426,389 = Markov number
      426,569 = cyclic number in base 12
      437,760 to 440,319 = any of these numbers will cause the Apple II+ and Apple IIe computers to crash to a monitor prompt when entered at the BASIC prompt, due to a short-cut in the Applesoft code programming of the overflow test when evaluating 16-bit numbers. Entering 440000 at the prompt has been used to hack games that are protected against entering commands at the prompt after the game is loaded.
      444,444 = repdigit
      456,976 = 264
      461,539 = Kaprekar number
      466,830 = Kaprekar number
      470,832 = Pell number
      483,840 = highly totient number
      492,638 = number of signed trees with 12 nodes
      498,960 = 35th highly composite number
      499,393 = Markov number
      499,500 = Kaprekar number


      = 500,000 to 599,999

      =
      500,500 = Kaprekar number, sum of first 1,000 integers
      509,203 = Riesel prime
      510,510 = the product of the first seven prime numbers, thus the seventh primorial. It is also the product of four consecutive Fibonacci numbers—13, 21, 34, 55, the largest such sequence of any length to be also a primorial. And it is a double triangular number, the sum of all even numbers from 0 to 1428.
      514,229 = Fibonacci prime,
      518,859 = Schröder–Hipparchus number
      524,287 = Mersenne prime
      524,288 = 219
      524,649 = Leyland number
      525,600 = minutes in a non-leap year
      527,040 = minutes in a leap year
      531,441 = 312
      533,169 = Leyland number
      533,170 = Kaprekar number
      537,824 = 145
      539,400 = harmonic divisor number
      548,834 = equal to the sum of the sixth powers of its digits
      554,400 = 36th highly composite number
      555,555 = repdigit
      586,081 = number of prime numbers having seven digits.
      599,999 = prime number.


      = 600,000 to 699,999

      =
      604,800 = number of seconds in a week
      614,656 = 284
      625,992 = Riordan number
      629,933 = number of reduced trees with 28 nodes
      645,120 = double factorial of 14
      646,018 = Markov number
      649,532 = number of 26-bead necklaces (turning over is allowed) where complements are equivalent
      664,579 = the number of primes under 10,000,000
      665,280 = 37th highly composite number
      665,857/470,832 ≈ √2
      666,666 = repdigit
      671,092 = number of 25-bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed
      676,157 = Wedderburn–Etherington number
      678,570 = Bell number
      694,280 = Keith number
      695,520 = harmonic divisor number


      = 700,000 to 799,999

      =
      700,001 = prime number.
      707,281 = 294
      720,720 = 10th superior highly composite number; 10th colossally abundant number; 38th highly composite number, smallest number divisible by the numbers from 1 to 16
      725,760 = highly totient number
      726,180 = harmonic divisor number
      729,000 = 903
      739,397 = largest prime that is both right- and left-truncatable.
      742,900 = Catalan number
      753,480 = harmonic divisor number
      759,375 = 155
      762,701 – smallest known composite Riesel number
      765,623 = emirp, Friedman prime 56 × 72 − 6 ÷ 3
      777,777 = repdigit, smallest natural number requiring 20 syllables in American English, 22 in British English, largest number in English not containing the letter 'i' in its name
      783,700 = initial number of third century xx00 to xx99 (after 400 and 1,400) containing seventeen prime numbers {783,701, 783,703, 783,707, 783,719, 783,721, 783,733, 783,737, 783,743, 783,749, 783,763, 783,767, 783,779, 783,781, 783,787, 783,791, 783,793, 783,799}
      799,999 = prime number.


      = 800,000 to 899,999

      =
      810,000 = 304
      823,065 = number of trees with 20 unlabeled nodes
      823,543 = 77
      825,265 = smallest Carmichael number with 5 prime factors
      832,040 = Fibonacci number
      853,467 = Motzkin number
      857,375 = 953
      873,612 = 11 + 22 + 33 + 44 + 55 + 66 + 77
      888,888 = repdigit
      890,625 = automorphic number


      = 900,000 to 999,999

      =

      900,001 = prime number
      901,971 = number of free 14-ominoes
      909,091 = unique prime in base 10
      923,521 = 314
      925,765 = Markov number
      925,993 = Keith number
      950,976 = harmonic divisor number
      956,619: 956619^2=915119911161, and only the digits 1, 5, 6 and 9 are used in both this number and its square.
      967,680 = highly totient number
      970,299 = 993, the largest 6-digit cube
      998,001 = 9992, the largest 6-digit square. The reciprocal of this number, in its expanded form, lists all three-digit numbers in order except 998.
      998,991 = largest triangular number with 6 digits and the 1413th triangular number
      999,983 = largest 6-digit prime number
      999,999 = repdigit. Rational numbers with denominators 7 and 13 have 6-digit repetends when expressed in decimal form, because 999999 is the smallest number one less than a power of 10 that is divisible by 7 and by 13, and it is the largest number in English not containing the letter 'l' in its name.


      = Prime numbers

      =
      There are 9,592 primes less than 105, where 99,991 is the largest prime number smaller than 100,000.
      Increments of 105 from 100,000 through a one million have the following prime counts:

      8,392 primes between 100,000 and 200,000. This is a difference of 1,200 primes from the previous range.
      104,729 is the 10,000th prime, which is in this range.
      199,999 is prime.
      8,013 primes between 200,000 and 300,000. A difference of 379 primes from the previous range.
      224,737 is the 20,000th prime.
      7,863 primes between 300,000 and 400,000. A difference of 150 primes from the previous range.
      350,377 is the 30,000th prime.
      7,678 primes between 400,000 and 500,000. A difference of 185 primes from the previous range. Here, the difference increases by a count of 35.
      479,909 is the 40,000th prime.
      7,560 primes between 500,000 and 600,000. A difference of 118 primes from the previous range.
      7,560 is the twentieth highly composite number.
      599,999 is prime.
      7,445 primes between 600,000 and 700,000. A difference of 115 primes from the previous range.
      611,953 is the 50,000th prime.
      7,408 primes between 700,000 and 800,000. A difference of 37 primes from the previous range.
      700,001 and 799,999 are both prime.
      746,773 is the 60,000th prime.
      7,323 primes between 800,000 and 900,000. A difference of 85 primes from the previous range. Here, the difference increases by a count of 48.
      882,377 is the 70,000th prime.
      7,224 primes between 900,000 and 1,000,000. A difference of 99 primes from the previous range. The difference increases again, by a count of 14.
      900,001 is prime.
      In total, there are 68,906 prime numbers between 100,000 and 1,000,000.


      Notes




      References

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