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105,376

105,376 is a composite number, even.

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.).

105,376 (one hundred five thousand three hundred seventy-six) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 37 × 89. Its proper divisors sum to 110,084, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x19BA0.

Abundant Number Evil Number Gapful Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
22
Digit product
0
Digital root
4
Palindrome
No
Bit width
17 bits
Reversed
673,501
Recamán's sequence
a(89,707) = 105,376
Square (n²)
11,104,101,376
Cube (n³)
1,170,105,786,597,376
Divisor count
24
σ(n) — sum of divisors
215,460
φ(n) — Euler's totient
50,688
Sum of prime factors
136

Primality

Prime factorization: 2 5 × 37 × 89

Nearest primes: 105,373 (−3) · 105,379 (+3)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 8 · 16 · 32 · 37 · 74 · 89 · 148 · 178 · 296 · 356 · 592 · 712 · 1184 · 1424 · 2848 · 3293 · 6586 · 13172 · 26344 · 52688 (half) · 105376
Aliquot sum (sum of proper divisors): 110,084
Factor pairs (a × b = 105,376)
1 × 105376
2 × 52688
4 × 26344
8 × 13172
16 × 6586
32 × 3293
37 × 2848
74 × 1424
89 × 1184
148 × 712
178 × 592
296 × 356
First multiples
105,376 · 210,752 (double) · 316,128 · 421,504 · 526,880 · 632,256 · 737,632 · 843,008 · 948,384 · 1,053,760

Sums & aliquot sequence

As a sum of two squares: 20² + 324² = 124² + 300²
As consecutive integers: 2,830 + 2,831 + … + 2,866 1,615 + 1,616 + … + 1,678 1,140 + 1,141 + … + 1,228
Aliquot sequence: 105,376 110,084 107,476 83,232 168,201 96,999 56,601 29,719 377 43 1 0 — terminates at zero

Continued fraction of √n

√105,376 = [324; (1, 1, 1, 1, 1, 1, 3, 1, 8, 2, 1, 3, 2, 1, 1, 1, 3, 2, 3, 71, 1, 5, 1, 1, …)]

Representations

In words
one hundred five thousand three hundred seventy-six
Ordinal
105376th
Binary
11001101110100000
Octal
315640
Hexadecimal
0x19BA0
Base64
AZug
One's complement
4,294,861,919 (32-bit)
Scientific notation
1.05376 × 10⁵
As a duration
105,376 s = 1 day, 5 hours, 16 minutes, 16 seconds
In other bases
ternary (3) 12100112211
quaternary (4) 121232200
quinary (5) 11333001
senary (6) 2131504
septenary (7) 616135
nonary (9) 170484
undecimal (11) 72197
duodecimal (12) 50b94
tridecimal (13) 38c6b
tetradecimal (14) 2a58c
pentadecimal (15) 21351

As an angle

105,376° = 292 × 360° + 256°
256° ≈ 4.468 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρετοϛʹ
Mayan (base 20)
𝋭·𝋣·𝋨·𝋰
Chinese
一十萬五千三百七十六
Chinese (financial)
壹拾萬伍仟參佰柒拾陸
In other modern scripts
Eastern Arabic ١٠٥٣٧٦ Devanagari १०५३७६ Bengali ১০৫৩৭৬ Tamil ௧௦௫௩௭௬ Thai ๑๐๕๓๗๖ Tibetan ༡༠༥༣༧༦ Khmer ១០៥៣៧៦ Lao ໑໐໕໓໗໖ Burmese ၁၀၅၃၇၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 105376, here are decompositions:

  • 3 + 105373 = 105376
  • 17 + 105359 = 105376
  • 53 + 105323 = 105376
  • 107 + 105269 = 105376
  • 113 + 105263 = 105376
  • 137 + 105239 = 105376
  • 149 + 105227 = 105376
  • 233 + 105143 = 105376

Showing the first eight; more decompositions exist.

Hex color
#019BA0
RGB(1, 155, 160)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.155.160.

Address
0.1.155.160
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.155.160

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 105,376 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