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106,608

106,608 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.).

106,608 (one hundred six thousand six hundred eight) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 3 × 2,221. Its proper divisors sum to 168,920, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A070.

Abundant Number Evil Number Flippable Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
17 bits
Reversed
806,601
Flips to (rotate 180°)
809,901
Recamán's sequence
a(45,131) = 106,608
Square (n²)
11,365,265,664
Cube (n³)
1,211,628,241,907,712
Divisor count
20
σ(n) — sum of divisors
275,528
φ(n) — Euler's totient
35,520
Sum of prime factors
2,232

Primality

Prime factorization: 2 4 × 3 × 2221

Nearest primes: 106,591 (−17) · 106,619 (+11)

Divisors & multiples

All divisors (20)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 48 · 2221 · 4442 · 6663 · 8884 · 13326 · 17768 · 26652 · 35536 · 53304 (half) · 106608
Aliquot sum (sum of proper divisors): 168,920
Factor pairs (a × b = 106,608)
1 × 106608
2 × 53304
3 × 35536
4 × 26652
6 × 17768
8 × 13326
12 × 8884
16 × 6663
24 × 4442
48 × 2221
First multiples
106,608 · 213,216 (double) · 319,824 · 426,432 · 533,040 · 639,648 · 746,256 · 852,864 · 959,472 · 1,066,080

Sums & aliquot sequence

As consecutive integers: 35,535 + 35,536 + 35,537 3,316 + 3,317 + … + 3,347 1,063 + 1,064 + … + 1,158
Aliquot sequence: 106,608 → 168,920 → 224,200 → 333,800 → 442,750 → 635,522 → 323,194 → 170,906 → 85,456 → 108,914 → 72,526 → 36,266 → 18,136 → 15,884 → 16,120 → 24,200 → 37,645 — unresolved within range

Continued fraction of √n

√106,608 = [326; (1, 1, 27, 1, 8, 4, 3, 3, 13, 3, 3, 4, 8, 1, 27, 1, 1, 652)]

Period length 18 — the block in parentheses repeats forever.

Representations

In words
one hundred six thousand six hundred eight
Ordinal
106608th
Binary
11010000001110000
Octal
320160
Hexadecimal
0x1A070
Base64
AaBw
One's complement
4,294,860,687 (32-bit)
Scientific notation
1.06608 × 10⁵
As a duration
106,608 s = 1 day, 5 hours, 36 minutes, 48 seconds
In other bases
ternary (3) 12102020110
quaternary (4) 122001300
quinary (5) 11402413
senary (6) 2141320
septenary (7) 622545
nonary (9) 172213
undecimal (11) 73107
duodecimal (12) 51840
tridecimal (13) 396a8
tetradecimal (14) 2abcc
pentadecimal (15) 218c3

As an angle

106,608° = 296 × 360° + 48°
48° ≈ 0.838 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρϛχηʹ
Mayan (base 20)
𝋭·𝋦·𝋪·𝋨
Chinese
十萬六千六百零八
Chinese (financial)
壹拾萬陸仟陸佰零捌
In other modern scripts
Eastern Arabic ١٠٦٦٠٨ Devanagari १०६६०८ Bengali ১০৬৬০৮ Tamil ௧௦௬௬௦௮ Thai ๑๐๖๖๐๘ Tibetan ༡༠༦༦༠༨ Khmer ១០៦៦០៨ Lao ໑໐໖໖໐໘ Burmese ၁၀၆၆၀၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 106608, here are decompositions:

  • 17 + 106591 = 106608
  • 67 + 106541 = 106608
  • 71 + 106537 = 106608
  • 107 + 106501 = 106608
  • 157 + 106451 = 106608
  • 167 + 106441 = 106608
  • 181 + 106427 = 106608
  • 191 + 106417 = 106608

Showing the first eight; more decompositions exist.

Hex color
#01A070
RGB(1, 160, 112)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.160.112.

Address
0.1.160.112
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.160.112

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 106,608 and was likely granted around 1870.

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

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.