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106,537

106,537 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.).

106,537 (one hundred six thousand five hundred thirty-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1A029.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
22
Digit product
0
Digital root
4
Palindrome
No
Bit width
17 bits
Reversed
735,601
Recamán's sequence
a(88,113) = 106,537
Square (n²)
11,350,132,369
Cube (n³)
1,209,209,052,196,153
Divisor count
2
σ(n) — sum of divisors
106,538
φ(n) — Euler's totient
106,536

Primality

106,537 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 106537
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 106,537)
1 × 106537
First multiples
106,537 · 213,074 (double) · 319,611 · 426,148 · 532,685 · 639,222 · 745,759 · 852,296 · 958,833 · 1,065,370

Sums & aliquot sequence

As a sum of two squares: 196² + 261²
As consecutive integers: 53,268 + 53,269

Continued fraction of √n

√106,537 = [326; (2, 2, 652)]

Period length 3 — the block in parentheses repeats forever.

Representations

In words
one hundred six thousand five hundred thirty-seven
Ordinal
106537th
Binary
11010000000101001
Octal
320051
Hexadecimal
0x1A029
Base64
AaAp
One's complement
4,294,860,758 (32-bit)
Scientific notation
1.06537 × 10⁵
As a duration
106,537 s = 1 day, 5 hours, 35 minutes, 37 seconds
In other bases
ternary (3) 12102010211
quaternary (4) 122000221
quinary (5) 11402122
senary (6) 2141121
septenary (7) 622414
nonary (9) 172124
undecimal (11) 73052
duodecimal (12) 517a1
tridecimal (13) 39652
tetradecimal (14) 2ab7b
pentadecimal (15) 21877
Palindromic in base 4

As an angle

106,537° = 295 × 360° + 337°
337° ≈ 5.882 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρϛφλζʹ
Mayan (base 20)
𝋭·𝋦·𝋦·𝋱
Chinese
十萬六千五百三十七
Chinese (financial)
壹拾萬陸仟伍佰參拾柒
In other modern scripts
Eastern Arabic ١٠٦٥٣٧ Devanagari १०६५३७ Bengali ১০৬৫৩৭ Tamil ௧௦௬௫௩௭ Thai ๑๐๖๕๓๗ Tibetan ༡༠༦༥༣༧ Khmer ១០៦៥៣៧ Lao ໑໐໖໕໓໗ Burmese ၁၀၆၅၃၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 106541, sexy with 106531.

Hex color
#01A029
RGB(1, 160, 41)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.160.41.

Address
0.1.160.41
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.160.41

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 106,537 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.