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106,501

106,501 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.).

106,501 (one hundred six thousand five hundred one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1A005.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
17 bits
Reversed
105,601
Recamán's sequence
a(88,185) = 106,501
Square (n²)
11,342,463,001
Cube (n³)
1,207,983,652,069,501
Divisor count
2
σ(n) — sum of divisors
106,502
φ(n) — Euler's totient
106,500

Primality

106,501 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 106501
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 106,501)
1 × 106501
First multiples
106,501 · 213,002 (double) · 319,503 · 426,004 · 532,505 · 639,006 · 745,507 · 852,008 · 958,509 · 1,065,010

Sums & aliquot sequence

As a sum of two squares: 15² + 326²
As consecutive integers: 53,250 + 53,251

Continued fraction of √n

√106,501 = [326; (2, 1, 8, 1, 13, 1, 1, 1, 1, 4, 1, 1, 1, 1, 1, 1, 1, 7, 4, 12, 1, 1, 3, 1, …)]

Representations

In words
one hundred six thousand five hundred one
Ordinal
106501st
Binary
11010000000000101
Octal
320005
Hexadecimal
0x1A005
Base64
AaAF
One's complement
4,294,860,794 (32-bit)
Scientific notation
1.06501 × 10⁵
As a duration
106,501 s = 1 day, 5 hours, 35 minutes, 1 second
In other bases
ternary (3) 12102002111
quaternary (4) 122000011
quinary (5) 11402001
senary (6) 2141021
septenary (7) 622333
nonary (9) 172074
undecimal (11) 7301a
duodecimal (12) 51771
tridecimal (13) 39625
tetradecimal (14) 2ab53
pentadecimal (15) 21851

As an angle

106,501° = 295 × 360° + 301°
301° ≈ 5.253 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓏺
Greek (Milesian)
͵ρϛφαʹ
Mayan (base 20)
𝋭·𝋦·𝋥·𝋡
Chinese
十萬六千五百零一
Chinese (financial)
壹拾萬陸仟伍佰零壹
In other modern scripts
Eastern Arabic ١٠٦٥٠١ Devanagari १०६५०१ Bengali ১০৬৫০১ Tamil ௧௦௬௫௦௧ Thai ๑๐๖๕๐๑ Tibetan ༡༠༦༥༠༡ Khmer ១០៦៥០១ Lao ໑໐໖໕໐໑ Burmese ၁၀၆၅၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#01A005
RGB(1, 160, 5)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.160.5.

Address
0.1.160.5
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.160.5

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 106,501 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.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.