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107,136

107,136 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 Harshad / Niven Recamán's Sequence

Properties

Parity
Even
Digit count
6
Digit sum
18
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
631,701
Recamán's sequence
a(82,327) = 107,136
Square (n²)
11,478,122,496
Cube (n³)
1,229,720,131,731,456
Divisor count
64
σ(n) — sum of divisors
326,400

Primality

Prime factorization: 2 7 × 3 3 × 31

Divisors & multiples

All divisors (64)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 18 · 24 · 27 · 31 · 32 · 36 · 48 · 54 · 62 · 64 · 72 · 93 · 96 · 108 · 124 · 128 · 144 · 186 · 192 · 216 · 248 · 279 · 288 · 372 · 384 · 432 · 496 · 558 · 576 · 744 · 837 · 864 · 992 · 1116 · 1152 · 1488 · 1674 · 1728 · 1984 · 2232 · 2976 · 3348 · 3456 · 3968 · 4464 · 5952 · 6696 · 8928 · 11904 · 13392 · 17856 · 26784 · 35712 · 53568 (half) · 107136
Aliquot sum (sum of proper divisors): 219,264
Factor pairs (a × b = 107,136)
1 × 107136
2 × 53568
3 × 35712
4 × 26784
6 × 17856
8 × 13392
9 × 11904
12 × 8928
16 × 6696
18 × 5952
24 × 4464
27 × 3968
31 × 3456
32 × 3348
36 × 2976
48 × 2232
54 × 1984
62 × 1728
64 × 1674
72 × 1488
93 × 1152
96 × 1116
108 × 992
124 × 864
128 × 837
144 × 744
186 × 576
192 × 558
216 × 496
248 × 432
279 × 384
288 × 372
First multiples
107,136 · 214,272 (double) · 321,408 · 428,544 · 535,680 · 642,816 · 749,952 · 857,088 · 964,224 · 1,071,360

Representations

In words
one hundred seven thousand one hundred thirty-six
Ordinal
107136th
Binary
11010001010000000
Octal
321200
Hexadecimal
0x1A280
Base64
AaKA
One's complement
4,294,860,159 (32-bit)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρζρλϛʹ
Mayan (base 20)
𝋭·𝋧·𝋰·𝋰
Chinese
一十萬七千一百三十六
Chinese (financial)
壹拾萬柒仟壹佰參拾陸
In other modern scripts
Eastern Arabic ١٠٧١٣٦ Devanagari १०७१३६ Bengali ১০৭১৩৬ Tamil ௧௦௭௧௩௬ Thai ๑๐๗๑๓๖ Tibetan ༡༠༧༡༣༦ Khmer ១០៧១៣៦ Lao ໑໐໗໑໓໖ Burmese ၁၀၇၁၃၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 107136, here are decompositions:

  • 13 + 107123 = 107136
  • 17 + 107119 = 107136
  • 37 + 107099 = 107136
  • 47 + 107089 = 107136
  • 59 + 107077 = 107136
  • 67 + 107069 = 107136
  • 79 + 107057 = 107136
  • 83 + 107053 = 107136

Showing the first eight; more decompositions exist.

Hex color
#01A280
RGB(1, 162, 128)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.162.128.

Address
0.1.162.128
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.162.128

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 107,136 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
000107136
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.