106,106
106,106 is a composite number, even.
106,106 (one hundred six thousand one hundred six) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 7 × 11 × 13 × 53. Its proper divisors sum to 111,622, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x19E7A.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 14
- Digit product
- 0
- Digital root
- 5
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 601,601
- Flips to (rotate 180°)
- 901,901
- Recamán's sequence
- a(88,551) = 106,106
- Square (n²)
- 11,258,483,236
- Cube (n³)
- 1,194,592,622,239,016
- Divisor count
- 32
- σ(n) — sum of divisors
- 217,728
- φ(n) — Euler's totient
- 37,440
- Sum of prime factors
- 86
Primality
Prime factorization: 2 × 7 × 11 × 13 × 53
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√106,106 = [325; (1, 2, 1, 5, 64, 1, 37, 2, 1, 25, 2, 1, 1, 3, 4, 3, 1, 1, 2, 25, 1, 2, 37, 1, …)]
Period length 30 — the block in parentheses repeats forever.
Representations
- In words
- one hundred six thousand one hundred six
- Ordinal
- 106106th
- Binary
- 11001111001111010
- Octal
- 317172
- Hexadecimal
- 0x19E7A
- Base64
- AZ56
- One's complement
- 4,294,861,189 (32-bit)
- Scientific notation
- 1.06106 × 10⁵
- As a duration
- 106,106 s = 1 day, 5 hours, 28 minutes, 26 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρϛρϛʹ
- Mayan (base 20)
- 𝋭·𝋥·𝋥·𝋦
- Chinese
- 十萬六千一百零六
- Chinese (financial)
- 壹拾萬陸仟壹佰零陸
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 106106, here are decompositions:
- 3 + 106103 = 106106
- 19 + 106087 = 106106
- 73 + 106033 = 106106
- 109 + 105997 = 106106
- 139 + 105967 = 106106
- 163 + 105943 = 106106
- 193 + 105913 = 106106
- 199 + 105907 = 106106
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.158.122.
- Address
- 0.1.158.122
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.158.122
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 106,106 and was likely granted around 1870.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 106106 first appears in π at position 88,995 of the decimal expansion (the 88,995ordinal-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
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.