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107,664

107,664 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 Evil Number Harshad / Niven Semiperfect Number

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
0
Digital root
6
Palindrome
No
Bit width
17 bits
Reversed
466,701
Square (n²)
11,591,536,896
Cube (n³)
1,247,991,228,370,944
Divisor count
20
σ(n) — sum of divisors
278,256
φ(n) — Euler's totient
35,872
Sum of prime factors
2,254

Primality

Prime factorization: 2 4 × 3 × 2243

Nearest primes: 107,647 (−17) · 107,671 (+7)

Divisors & multiples

All divisors (20)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 48 · 2243 · 4486 · 6729 · 8972 · 13458 · 17944 · 26916 · 35888 · 53832 (half) · 107664
Aliquot sum (sum of proper divisors): 170,592
Factor pairs (a × b = 107,664)
1 × 107664
2 × 53832
3 × 35888
4 × 26916
6 × 17944
8 × 13458
12 × 8972
16 × 6729
24 × 4486
48 × 2243
First multiples
107,664 · 215,328 (double) · 322,992 · 430,656 · 538,320 · 645,984 · 753,648 · 861,312 · 968,976 · 1,076,640

Sums & aliquot sequence

As consecutive integers: 35,887 + 35,888 + 35,889 3,349 + 3,350 + … + 3,380 1,074 + 1,075 + … + 1,169
Aliquot sequence: 107,664 170,592 277,464 479,976 891,864 1,586,136 2,379,264 3,963,336 6,708,024 11,609,496 19,989,864 34,149,546 42,786,774 53,115,786 74,052,918 109,253,322 142,228,350 — unresolved within range

Representations

In words
one hundred seven thousand six hundred sixty-four
Ordinal
107664th
Binary
11010010010010000
Octal
322220
Hexadecimal
0x1A490
Base64
AaSQ
One's complement
4,294,859,631 (32-bit)
In other bases
ternary (3) 12110200120
quaternary (4) 122102100
quinary (5) 11421124
senary (6) 2150240
septenary (7) 625614
nonary (9) 173616
undecimal (11) 73987
duodecimal (12) 52380
tridecimal (13) 3a00b
tetradecimal (14) 2b344
pentadecimal (15) 21d79

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρζχξδʹ
Mayan (base 20)
𝋭·𝋩·𝋣·𝋤
Chinese
一十萬七千六百六十四
Chinese (financial)
壹拾萬柒仟陸佰陸拾肆
In other modern scripts
Eastern Arabic ١٠٧٦٦٤ Devanagari १०७६६४ Bengali ১০৭৬৬৪ Tamil ௧௦௭௬௬௪ Thai ๑๐๗๖๖๔ Tibetan ༡༠༧༦༦༤ Khmer ១០៧៦៦៤ Lao ໑໐໗໖໖໔ Burmese ၁၀၇၆၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 107664, here are decompositions:

  • 17 + 107647 = 107664
  • 23 + 107641 = 107664
  • 43 + 107621 = 107664
  • 61 + 107603 = 107664
  • 83 + 107581 = 107664
  • 101 + 107563 = 107664
  • 157 + 107507 = 107664
  • 191 + 107473 = 107664

Showing the first eight; more decompositions exist.

Hex color
#01A490
RGB(1, 164, 144)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.164.144.

Address
0.1.164.144
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.164.144

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 107,664 and was likely granted around 1870.

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