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106,721

106,721 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.).

106,721 (one hundred six thousand seven hundred twenty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1A0E1.

Arithmetic Number Cube-Free Deficient Number Emirp Happy Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Self Number Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
127,601
Recamán's sequence
a(81,417) = 106,721
Square (n²)
11,389,371,841
Cube (n³)
1,215,485,152,243,361
Divisor count
2
σ(n) — sum of divisors
106,722
φ(n) — Euler's totient
106,720

Primality

106,721 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 106721
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 106,721)
1 × 106721
First multiples
106,721 · 213,442 (double) · 320,163 · 426,884 · 533,605 · 640,326 · 747,047 · 853,768 · 960,489 · 1,067,210

Sums & aliquot sequence

As a sum of two squares: 100² + 311²
As consecutive integers: 53,360 + 53,361

Continued fraction of √n

√106,721 = [326; (1, 2, 7, 130, 1, 1, 6, 2, 1, 1, 1, 25, 1, 1, 33, 1, 7, 5, 9, 1, 5, 1, 39, 1, …)]

Representations

In words
one hundred six thousand seven hundred twenty-one
Ordinal
106721st
Binary
11010000011100001
Octal
320341
Hexadecimal
0x1A0E1
Base64
AaDh
One's complement
4,294,860,574 (32-bit)
Scientific notation
1.06721 × 10⁵
As a duration
106,721 s = 1 day, 5 hours, 38 minutes, 41 seconds
In other bases
ternary (3) 12102101122
quaternary (4) 122003201
quinary (5) 11403341
senary (6) 2142025
septenary (7) 623066
nonary (9) 172348
undecimal (11) 731aa
duodecimal (12) 51915
tridecimal (13) 39764
tetradecimal (14) 2ac6d
pentadecimal (15) 2194b
Palindromic in base 12

As an angle

106,721° = 296 × 360° + 161°
161° ≈ 2.81 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺
Greek (Milesian)
͵ρϛψκαʹ
Mayan (base 20)
𝋭·𝋦·𝋰·𝋡
Chinese
十萬六千七百二十一
Chinese (financial)
壹拾萬陸仟柒佰貳拾壹
In other modern scripts
Eastern Arabic ١٠٦٧٢١ Devanagari १०६७२१ Bengali ১০৬৭২১ Tamil ௧௦௬௭௨௧ Thai ๑๐๖๗๒๑ Tibetan ༡༠༦༧༢༡ Khmer ១០៦៧២១ Lao ໑໐໖໗໒໑ Burmese ၁၀၆၇၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 106727.

Hex color
#01A0E1
RGB(1, 160, 225)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.160.225.

Address
0.1.160.225
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.160.225

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 106,721 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.