106,700
106,700 is a composite number, even.
106,700 (one hundred six thousand seven hundred) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2² × 5² × 11 × 97. Its proper divisors sum to 148,492, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A0CC.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 14
- Digit product
- 0
- Digital root
- 5
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 7,601
- Recamán's sequence
- a(85,943) = 106,700
- Square (n²)
- 11,384,890,000
- Cube (n³)
- 1,214,767,763,000,000
- Divisor count
- 36
- σ(n) — sum of divisors
- 255,192
- φ(n) — Euler's totient
- 38,400
- Sum of prime factors
- 122
Primality
Prime factorization: 2 2 × 5 2 × 11 × 97
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√106,700 = [326; (1, 1, 1, 5, 1, 6, 2, 25, 1, 1, 1, 162, 1, 1, 1, 25, 2, 6, 1, 5, 1, 1, 1, 652)]
Period length 24 — the block in parentheses repeats forever.
Representations
- In words
- one hundred six thousand seven hundred
- Ordinal
- 106700th
- Binary
- 11010000011001100
- Octal
- 320314
- Hexadecimal
- 0x1A0CC
- Base64
- AaDM
- One's complement
- 4,294,860,595 (32-bit)
- Scientific notation
- 1.067 × 10⁵
- As a duration
- 106,700 s = 1 day, 5 hours, 38 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢
- Greek (Milesian)
- ͵ρϛψʹ
- Mayan (base 20)
- 𝋭·𝋦·𝋯·𝋠
- Chinese
- 十萬六千七百
- Chinese (financial)
- 壹拾萬陸仟柒佰
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 106700, here are decompositions:
- 7 + 106693 = 106700
- 19 + 106681 = 106700
- 31 + 106669 = 106700
- 37 + 106663 = 106700
- 43 + 106657 = 106700
- 73 + 106627 = 106700
- 79 + 106621 = 106700
- 109 + 106591 = 106700
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.160.204.
- Address
- 0.1.160.204
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.160.204
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 106,700 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
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.