107,106
107,106 is a composite number, even.
107,106 (one hundred seven thousand one hundred six) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 17,851. Its proper divisors sum to 107,118, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A262.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 15
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 601,701
- Recamán's sequence
- a(82,267) = 107,106
- Square (n²)
- 11,471,695,236
- Cube (n³)
- 1,228,687,389,947,016
- Divisor count
- 8
- σ(n) — sum of divisors
- 214,224
- φ(n) — Euler's totient
- 35,700
- Sum of prime factors
- 17,856
Primality
Prime factorization: 2 × 3 × 17851
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√107,106 = [327; (3, 1, 2, 3, 2, 1, 1, 20, 1, 1, 9, 1, 1, 3, 1, 4, 3, 1, 9, 1, 3, 1, 6, 1, …)]
Period length 58 — the block in parentheses repeats forever.
Representations
- In words
- one hundred seven thousand one hundred six
- Ordinal
- 107106th
- Binary
- 11010001001100010
- Octal
- 321142
- Hexadecimal
- 0x1A262
- Base64
- AaJi
- One's complement
- 4,294,860,189 (32-bit)
- Scientific notation
- 1.07106 × 10⁵
- As a duration
- 107,106 s = 1 day, 5 hours, 45 minutes, 6 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρζρϛʹ
- Mayan (base 20)
- 𝋭·𝋧·𝋯·𝋦
- Chinese
- 十萬七千一百零六
- Chinese (financial)
- 壹拾萬柒仟壹佰零陸
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 107106, here are decompositions:
- 5 + 107101 = 107106
- 7 + 107099 = 107106
- 17 + 107089 = 107106
- 29 + 107077 = 107106
- 37 + 107069 = 107106
- 53 + 107053 = 107106
- 73 + 107033 = 107106
- 113 + 106993 = 107106
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.162.98.
- Address
- 0.1.162.98
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.162.98
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 107,106 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 107106 first appears in π at position 223,533 of the decimal expansion (the 223,533ordinal-suffix:rd 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
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.