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108,120

108,120 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 Gapful Number Happy Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
6
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
17 bits
Reversed
21,801
Recamán's sequence
a(251,192) = 108,120
Square (n²)
11,689,934,400
Cube (n³)
1,263,915,707,328,000
Divisor count
64
σ(n) — sum of divisors
349,920
φ(n) — Euler's totient
26,624
Sum of prime factors
84

Primality

Prime factorization: 2 3 × 3 × 5 × 17 × 53

Nearest primes: 108,109 (−11) · 108,127 (+7)

Divisors & multiples

All divisors (64)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 17 · 20 · 24 · 30 · 34 · 40 · 51 · 53 · 60 · 68 · 85 · 102 · 106 · 120 · 136 · 159 · 170 · 204 · 212 · 255 · 265 · 318 · 340 · 408 · 424 · 510 · 530 · 636 · 680 · 795 · 901 · 1020 · 1060 · 1272 · 1590 · 1802 · 2040 · 2120 · 2703 · 3180 · 3604 · 4505 · 5406 · 6360 · 7208 · 9010 · 10812 · 13515 · 18020 · 21624 · 27030 · 36040 · 54060 (half) · 108120
Aliquot sum (sum of proper divisors): 241,800
Factor pairs (a × b = 108,120)
1 × 108120
2 × 54060
3 × 36040
4 × 27030
5 × 21624
6 × 18020
8 × 13515
10 × 10812
12 × 9010
15 × 7208
17 × 6360
20 × 5406
24 × 4505
30 × 3604
34 × 3180
40 × 2703
51 × 2120
53 × 2040
60 × 1802
68 × 1590
85 × 1272
102 × 1060
106 × 1020
120 × 901
136 × 795
159 × 680
170 × 636
204 × 530
212 × 510
255 × 424
265 × 408
318 × 340
First multiples
108,120 · 216,240 (double) · 324,360 · 432,480 · 540,600 · 648,720 · 756,840 · 864,960 · 973,080 · 1,081,200

Sums & aliquot sequence

As consecutive integers: 36,039 + 36,040 + 36,041 21,622 + 21,623 + 21,624 + 21,625 + 21,626 7,201 + 7,202 + … + 7,215 6,750 + 6,751 + … + 6,765
Aliquot sequence: 108,120 241,800 591,480 1,430,280 3,413,520 9,121,392 20,055,808 20,313,192 30,469,848 54,409,512 83,340,888 127,869,912 219,423,528 374,848,722 506,762,118 591,222,510 985,371,570 — unresolved within range

Representations

In words
one hundred eight thousand one hundred twenty
Ordinal
108120th
Binary
11010011001011000
Octal
323130
Hexadecimal
0x1A658
Base64
AaZY
One's complement
4,294,859,175 (32-bit)
In other bases
ternary (3) 12111022110
quaternary (4) 122121120
quinary (5) 11424440
senary (6) 2152320
septenary (7) 630135
nonary (9) 174273
undecimal (11) 74261
duodecimal (12) 526a0
tridecimal (13) 3a29c
tetradecimal (14) 2b58c
pentadecimal (15) 22080

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋 𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆
Greek (Milesian)
͵ρηρκʹ
Mayan (base 20)
𝋭·𝋪·𝋦·𝋠
Chinese
一十萬八千一百二十
Chinese (financial)
壹拾萬捌仟壹佰貳拾
In other modern scripts
Eastern Arabic ١٠٨١٢٠ Devanagari १०८१२० Bengali ১০৮১২০ Tamil ௧௦௮௧௨௦ Thai ๑๐๘๑๒๐ Tibetan ༡༠༨༡༢༠ Khmer ១០៨១២០ Lao ໑໐໘໑໒໐ Burmese ၁၀၈၁၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 108120, here are decompositions:

  • 11 + 108109 = 108120
  • 13 + 108107 = 108120
  • 31 + 108089 = 108120
  • 41 + 108079 = 108120
  • 59 + 108061 = 108120
  • 79 + 108041 = 108120
  • 83 + 108037 = 108120
  • 97 + 108023 = 108120

Showing the first eight; more decompositions exist.

Hex color
#01A658
RGB(1, 166, 88)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.166.88.

Address
0.1.166.88
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.166.88

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 108,120 and was likely granted around 1870.

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