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107,101

107,101 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.).

107,101 (one hundred seven thousand one hundred one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1A25D.

Arithmetic Number Cube-Free Deficient Number Emirp Odious Number Prime Pythagorean Prime Recamán's Sequence Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
10
Digit product
0
Digital root
1
Palindrome
No
Bit width
17 bits
Reversed
101,701
Recamán's sequence
a(82,257) = 107,101
Square (n²)
11,470,624,201
Cube (n³)
1,228,515,322,551,301
Divisor count
2
σ(n) — sum of divisors
107,102
φ(n) — Euler's totient
107,100

Primality

107,101 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 107101
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 107,101)
1 × 107101
First multiples
107,101 · 214,202 (double) · 321,303 · 428,404 · 535,505 · 642,606 · 749,707 · 856,808 · 963,909 · 1,071,010

Sums & aliquot sequence

As a sum of two squares: 210² + 251²
As consecutive integers: 53,550 + 53,551

Continued fraction of √n

√107,101 = [327; (3, 1, 4, 10, 5, 1, 1, 2, 5, 1, 5, 3, 1, 1, 1, 10, 3, 1, 2, 4, 1, 1, 3, 1, …)]

Representations

In words
one hundred seven thousand one hundred one
Ordinal
107101st
Binary
11010001001011101
Octal
321135
Hexadecimal
0x1A25D
Base64
AaJd
One's complement
4,294,860,194 (32-bit)
Scientific notation
1.07101 × 10⁵
As a duration
107,101 s = 1 day, 5 hours, 45 minutes, 1 second
In other bases
ternary (3) 12102220201
quaternary (4) 122021131
quinary (5) 11411401
senary (6) 2143501
septenary (7) 624151
nonary (9) 172821
undecimal (11) 73515
duodecimal (12) 51b91
tridecimal (13) 39997
tetradecimal (14) 2b061
pentadecimal (15) 21b01

As an angle

107,101° = 297 × 360° + 181°
181° ≈ 3.159 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓏺
Greek (Milesian)
͵ρζραʹ
Mayan (base 20)
𝋭·𝋧·𝋯·𝋡
Chinese
十萬七千一百零一
Chinese (financial)
壹拾萬柒仟壹佰零壹
In other modern scripts
Eastern Arabic ١٠٧١٠١ Devanagari १०७१०१ Bengali ১০৭১০১ Tamil ௧௦௭௧௦௧ Thai ๑๐๗๑๐๑ Tibetan ༡༠༧༡༠༡ Khmer ១០៧១០១ Lao ໑໐໗໑໐໑ Burmese ၁၀၇၁၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 107099.

Hex color
#01A25D
RGB(1, 162, 93)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.162.93.

Address
0.1.162.93
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.162.93

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 107,101 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 107101 first appears in π at position 440,528 of the decimal expansion (the 440,528ordinal-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.

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.