106,000
106,000 is a composite number, even.
106,000 (one hundred six thousand) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 5³ × 53. Its proper divisors sum to 155,144, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x19E10.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 7
- Digit product
- 0
- Digital root
- 7
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 601
- Flips to (rotate 180°)
- 901
- Recamán's sequence
- a(89,171) = 106,000
- Square (n²)
- 11,236,000,000
- Cube (n³)
- 1,191,016,000,000,000
- Divisor count
- 40
- σ(n) — sum of divisors
- 261,144
- φ(n) — Euler's totient
- 41,600
- Sum of prime factors
- 76
Primality
Prime factorization: 2 4 × 5 3 × 53
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√106,000 = [325; (1, 1, 2, 1, 3, 2, 1, 1, 1, 1, 1, 71, 1, 2, 1, 2, 2, 25, 1, 1, 1, 1, 1, 7, …)]
Representations
- In words
- one hundred six thousand
- Ordinal
- 106000th
- Binary
- 11001111000010000
- Octal
- 317020
- Hexadecimal
- 0x19E10
- Base64
- AZ4Q
- One's complement
- 4,294,861,295 (32-bit)
- Scientific notation
- 1.06 × 10⁵
- As a duration
- 106,000 s = 1 day, 5 hours, 26 minutes, 40 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓆼𓆼𓆼
- Greek (Milesian)
- ͵ρϛ
- Mayan (base 20)
- 𝋭·𝋥·𝋠·𝋠
- Chinese
- 十萬六千
- Chinese (financial)
- 壹拾萬陸仟
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 106000, here are decompositions:
- 3 + 105997 = 106000
- 17 + 105983 = 106000
- 23 + 105977 = 106000
- 29 + 105971 = 106000
- 47 + 105953 = 106000
- 71 + 105929 = 106000
- 101 + 105899 = 106000
- 137 + 105863 = 106000
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.158.16.
- Address
- 0.1.158.16
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.158.16
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 106,000 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 106000 first appears in π at position 269,780 of the decimal expansion (the 269,780ordinal-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
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.