106,812
106,812 is a composite number, even.
106,812 (one hundred six thousand eight hundred twelve) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 3³ × 23 × 43. Its proper divisors sum to 188,868, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A13C.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 18
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 218,601
- Recamán's sequence
- a(24,272) = 106,812
- Square (n²)
- 11,408,803,344
- Cube (n³)
- 1,218,597,102,779,328
- Divisor count
- 48
- σ(n) — sum of divisors
- 295,680
- φ(n) — Euler's totient
- 33,264
- Sum of prime factors
- 79
Primality
Prime factorization: 2 2 × 3 3 × 23 × 43
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√106,812 = [326; (1, 4, 1, 1, 2, 2, 1, 162, 1, 2, 2, 1, 1, 4, 1, 652)]
Period length 16 — the block in parentheses repeats forever.
Representations
- In words
- one hundred six thousand eight hundred twelve
- Ordinal
- 106812th
- Binary
- 11010000100111100
- Octal
- 320474
- Hexadecimal
- 0x1A13C
- Base64
- AaE8
- One's complement
- 4,294,860,483 (32-bit)
- Scientific notation
- 1.06812 × 10⁵
- As a duration
- 106,812 s = 1 day, 5 hours, 40 minutes, 12 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺
- Greek (Milesian)
- ͵ρϛωιβʹ
- Mayan (base 20)
- 𝋭·𝋧·𝋠·𝋬
- Chinese
- 十萬六千八百一十二
- Chinese (financial)
- 壹拾萬陸仟捌佰壹拾貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 106812, here are decompositions:
- 11 + 106801 = 106812
- 29 + 106783 = 106812
- 31 + 106781 = 106812
- 53 + 106759 = 106812
- 59 + 106753 = 106812
- 61 + 106751 = 106812
- 73 + 106739 = 106812
- 109 + 106703 = 106812
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.161.60.
- Address
- 0.1.161.60
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.161.60
Unspecified address (0.0.0.0/8) — "this network" placeholder.
This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 106,812 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
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.