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106,800

106,800 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 Flippable Harshad / Niven Pentagonal Recamán's Sequence

Properties

Parity
Even
Digit count
6
Digit sum
15
Digital root
6
Palindrome
No
Bit width
17 bits
Reversed
8,601
Flips to (rotate 180°)
8,901
Recamán's sequence
a(81,655) = 106,800
Square (n²)
11,406,240,000
Cube (n³)
1,218,186,432,000,000
Divisor count
60
σ(n) — sum of divisors
345,960

Primality

Prime factorization: 2 4 × 3 × 5 2 × 89

Divisors & multiples

All divisors (60)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 24 · 25 · 30 · 40 · 48 · 50 · 60 · 75 · 80 · 89 · 100 · 120 · 150 · 178 · 200 · 240 · 267 · 300 · 356 · 400 · 445 · 534 · 600 · 712 · 890 · 1068 · 1200 · 1335 · 1424 · 1780 · 2136 · 2225 · 2670 · 3560 · 4272 · 4450 · 5340 · 6675 · 7120 · 8900 · 10680 · 13350 · 17800 · 21360 · 26700 · 35600 · 53400 (half) · 106800
Aliquot sum (sum of proper divisors): 239,160
Factor pairs (a × b = 106,800)
1 × 106800
2 × 53400
3 × 35600
4 × 26700
5 × 21360
6 × 17800
8 × 13350
10 × 10680
12 × 8900
15 × 7120
16 × 6675
20 × 5340
24 × 4450
25 × 4272
30 × 3560
40 × 2670
48 × 2225
50 × 2136
60 × 1780
75 × 1424
80 × 1335
89 × 1200
100 × 1068
120 × 890
150 × 712
178 × 600
200 × 534
240 × 445
267 × 400
300 × 356
First multiples
106,800 · 213,600 (double) · 320,400 · 427,200 · 534,000 · 640,800 · 747,600 · 854,400 · 961,200 · 1,068,000

Representations

In words
one hundred six thousand eight hundred
Ordinal
106800th
Binary
11010000100110000
Octal
320460
Hexadecimal
0x1A130
Base64
AaEw
One's complement
4,294,860,495 (32-bit)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 ·
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢
Greek (Milesian)
͵ρϛωʹ
Mayan (base 20)
𝋭·𝋧·𝋠·𝋠
Chinese
一十萬六千八百
Chinese (financial)
壹拾萬陸仟捌佰
In other modern scripts
Eastern Arabic ١٠٦٨٠٠ Devanagari १०६८०० Bengali ১০৬৮০০ Tamil ௧௦௬௮௦௦ Thai ๑๐๖๘๐๐ Tibetan ༡༠༦༨༠༠ Khmer ១០៦៨០០ Lao ໑໐໖໘໐໐ Burmese ၁၀၆၈၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 106800, here are decompositions:

  • 13 + 106787 = 106800
  • 17 + 106783 = 106800
  • 19 + 106781 = 106800
  • 41 + 106759 = 106800
  • 47 + 106753 = 106800
  • 53 + 106747 = 106800
  • 61 + 106739 = 106800
  • 73 + 106727 = 106800

Showing the first eight; more decompositions exist.

Hex color
#01A130
RGB(1, 161, 48)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.161.48.

Address
0.1.161.48
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.161.48

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 106,800 and was likely granted around 1870.

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

Position in π

The digit sequence 106800 first appears in π at position 26,500 of the decimal expansion (the 26,500ordinal-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.