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100,900

100,900 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).
Abundant Number Cube-Free Evil Number Flippable Gapful Number Happy Number Harshad / Niven Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
6
Digit sum
10
Digit product
0
Digital root
1
Palindrome
No
Bit width
17 bits
Reversed
9,001
Flips to (rotate 180°)
6,001
Recamán's sequence
a(254,916) = 100,900
Square (n²)
10,180,810,000
Cube (n³)
1,027,243,729,000,000
Divisor count
18
σ(n) — sum of divisors
219,170
φ(n) — Euler's totient
40,320
Sum of prime factors
1,023

Primality

Prime factorization: 2 2 × 5 2 × 1009

Nearest primes: 100,853 (−47) · 100,907 (+7)

Divisors & multiples

All divisors (18)
1 · 2 · 4 · 5 · 10 · 20 · 25 · 50 · 100 · 1009 · 2018 · 4036 · 5045 · 10090 · 20180 · 25225 · 50450 (half) · 100900
Aliquot sum (sum of proper divisors): 118,270
Factor pairs (a × b = 100,900)
1 × 100900
2 × 50450
4 × 25225
5 × 20180
10 × 10090
20 × 5045
25 × 4036
50 × 2018
100 × 1009
First multiples
100,900 · 201,800 (double) · 302,700 · 403,600 · 504,500 · 605,400 · 706,300 · 807,200 · 908,100 · 1,009,000

Sums & aliquot sequence

As a sum of two squares: 48² + 314² = 134² + 288² = 150² + 280²
As consecutive integers: 20,178 + 20,179 + 20,180 + 20,181 + 20,182 12,609 + 12,610 + … + 12,616 4,024 + 4,025 + … + 4,048 2,503 + 2,504 + … + 2,542
Aliquot sequence: 100,900 118,270 94,634 47,320 84,440 105,640 146,360 183,040 332,048 311,326 155,666 111,214 65,474 37,966 20,498 11,194 6,266 — unresolved within range

Continued fraction of √n

√100,900 = [317; (1, 1, 1, 5, 6, 5, 1, 1, 1, 634)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words
one hundred thousand nine hundred
Ordinal
100900th
Binary
11000101000100100
Octal
305044
Hexadecimal
0x18A24
Base64
AYok
One's complement
4,294,866,395 (32-bit)
Scientific notation
1.009 × 10⁵
In other bases
ternary (3) 12010102001
quaternary (4) 120220210
quinary (5) 11212100
senary (6) 2055044
septenary (7) 600112
nonary (9) 163361
undecimal (11) 69898
duodecimal (12) 4a484
tridecimal (13) 36c07
tetradecimal (14) 28ab2
pentadecimal (15) 1ed6a
Palindromic in base 9

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢
Greek (Milesian)
͵ρϡʹ
Mayan (base 20)
𝋬·𝋬·𝋥·𝋠
Chinese
一十萬零九百
Chinese (financial)
壹拾萬零玖佰
In other modern scripts
Eastern Arabic ١٠٠٩٠٠ Devanagari १००९०० Bengali ১০০৯০০ Tamil ௧௦௦௯௦௦ Thai ๑๐๐๙๐๐ Tibetan ༡༠༠༩༠༠ Khmer ១០០៩០០ Lao ໑໐໐໙໐໐ Burmese ၁၀၀၉၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 100900, here are decompositions:

  • 47 + 100853 = 100900
  • 53 + 100847 = 100900
  • 71 + 100829 = 100900
  • 89 + 100811 = 100900
  • 101 + 100799 = 100900
  • 113 + 100787 = 100900
  • 131 + 100769 = 100900
  • 167 + 100733 = 100900

Showing the first eight; more decompositions exist.

Unicode codepoint
𘨤
Tangut Component-549
U+18A24
Other letter (Lo)

UTF-8 encoding: F0 98 A8 A4 (4 bytes).

Hex color
#018A24
RGB(1, 138, 36)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.138.36.

Address
0.1.138.36
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.138.36

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 100,900 and was likely granted around 1870.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000100900
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.