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106,920

106,920 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
29,601
Recamán's sequence
a(24,368) = 106,920
Square (n²)
11,431,886,400
Cube (n³)
1,222,297,293,888,000
Divisor count
96
σ(n) — sum of divisors
393,120

Primality

Prime factorization: 2 3 × 3 5 × 5 × 11

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 11 · 12 · 15 · 18 · 20 · 22 · 24 · 27 · 30 · 33 · 36 · 40 · 44 · 45 · 54 · 55 · 60 · 66 · 72 · 81 · 88 · 90 · 99 · 108 · 110 · 120 · 132 · 135 · 162 · 165 · 180 · 198 · 216 · 220 · 243 · 264 · 270 · 297 · 324 · 330 · 360 · 396 · 405 · 440 · 486 · 495 · 540 · 594 · 648 · 660 · 792 · 810 · 891 · 972 · 990 · 1080 · 1188 · 1215 · 1320 · 1485 · 1620 · 1782 · 1944 · 1980 · 2376 · 2430 · 2673 · 2970 · 3240 · 3564 · 3960 · 4455 · 4860 · 5346 · 5940 · 7128 · 8910 · 9720 · 10692 · 11880 · 13365 · 17820 · 21384 · 26730 · 35640 · 53460 (half) · 106920
Aliquot sum (sum of proper divisors): 286,200
Factor pairs (a × b = 106,920)
1 × 106920
2 × 53460
3 × 35640
4 × 26730
5 × 21384
6 × 17820
8 × 13365
9 × 11880
10 × 10692
11 × 9720
12 × 8910
15 × 7128
18 × 5940
20 × 5346
22 × 4860
24 × 4455
27 × 3960
30 × 3564
33 × 3240
36 × 2970
40 × 2673
44 × 2430
45 × 2376
54 × 1980
55 × 1944
60 × 1782
66 × 1620
72 × 1485
81 × 1320
88 × 1215
90 × 1188
99 × 1080
108 × 990
110 × 972
120 × 891
132 × 810
135 × 792
162 × 660
165 × 648
180 × 594
198 × 540
216 × 495
220 × 486
243 × 440
264 × 405
270 × 396
297 × 360
324 × 330
First multiples
106,920 · 213,840 (double) · 320,760 · 427,680 · 534,600 · 641,520 · 748,440 · 855,360 · 962,280 · 1,069,200

Representations

In words
one hundred six thousand nine hundred twenty
Ordinal
106920th
Binary
11010000110101000
Octal
320650
Hexadecimal
0x1A1A8
Base64
AaGo
One's complement
4,294,860,375 (32-bit)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ρϛϡκʹ
Mayan (base 20)
𝋭·𝋧·𝋦·𝋠
Chinese
一十萬六千九百二十
Chinese (financial)
壹拾萬陸仟玖佰貳拾
In other modern scripts
Eastern Arabic ١٠٦٩٢٠ Devanagari १०६९२० Bengali ১০৬৯২০ Tamil ௧௦௬௯௨௦ Thai ๑๐๖๙๒๐ Tibetan ༡༠༦༩༢༠ Khmer ១០៦៩២០ Lao ໑໐໖໙໒໐ Burmese ၁၀၆၉၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 106920, here are decompositions:

  • 13 + 106907 = 106920
  • 17 + 106903 = 106920
  • 43 + 106877 = 106920
  • 53 + 106867 = 106920
  • 59 + 106861 = 106920
  • 61 + 106859 = 106920
  • 67 + 106853 = 106920
  • 97 + 106823 = 106920

Showing the first eight; more decompositions exist.

Hex color
#01A1A8
RGB(1, 161, 168)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.161.168.

Address
0.1.161.168
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.161.168

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 106,920 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
000106920
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.

Position in π

The digit sequence 106920 first appears in π at position 375,940 of the decimal expansion (the 375,940ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.