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108,161

108,161 is a prime, odd.

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.).

108,161 (one hundred eight thousand one hundred sixty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1A681.

Arithmetic Number Chen Prime Cube-Free Deficient Number Flippable Happy Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
161,801
Flips to (rotate 180°)
191,801
Recamán's sequence
a(251,110) = 108,161
Square (n²)
11,698,801,921
Cube (n³)
1,265,354,114,577,281
Divisor count
2
σ(n) — sum of divisors
108,162
φ(n) — Euler's totient
108,160

Primality

108,161 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 108161
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 108,161)
1 × 108161
First multiples
108,161 · 216,322 (double) · 324,483 · 432,644 · 540,805 · 648,966 · 757,127 · 865,288 · 973,449 · 1,081,610

Sums & aliquot sequence

As a sum of two squares: 80² + 319²
As consecutive integers: 54,080 + 54,081

Continued fraction of √n

√108,161 = [328; (1, 7, 4, 2, 9, 2, 1, 2, 3, 1, 6, 1, 2, 2, 1, 2, 2, 5, 1, 9, 3, 1, 1, 1, …)]

Representations

In words
one hundred eight thousand one hundred sixty-one
Ordinal
108161st
Binary
11010011010000001
Octal
323201
Hexadecimal
0x1A681
Base64
AaaB
One's complement
4,294,859,134 (32-bit)
Scientific notation
1.08161 × 10⁵
As a duration
108,161 s = 1 day, 6 hours, 2 minutes, 41 seconds
In other bases
ternary (3) 12111100222
quaternary (4) 122122001
quinary (5) 11430121
senary (6) 2152425
septenary (7) 630224
nonary (9) 174328
undecimal (11) 74299
duodecimal (12) 52715
tridecimal (13) 3a301
tetradecimal (14) 2b5bb
pentadecimal (15) 220ab

As an angle

108,161° = 300 × 360° + 161°
161° ≈ 2.81 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋 𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ρηρξαʹ
Mayan (base 20)
𝋭·𝋪·𝋨·𝋡
Chinese
十萬八千一百六十一
Chinese (financial)
壹拾萬捌仟壹佰陸拾壹
In other modern scripts
Eastern Arabic ١٠٨١٦١ Devanagari १०८१६१ Bengali ১০৮১৬১ Tamil ௧௦௮௧௬௧ Thai ๑๐๘๑๖๑ Tibetan ༡༠༨༡༦༡ Khmer ១០៨១៦១ Lao ໑໐໘໑໖໑ Burmese ၁၀၈၁၆၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#01A681
RGB(1, 166, 129)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.166.129.

Address
0.1.166.129
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.166.129

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 108,161 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

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.