106,200
106,200 is a composite number, even.
106,200 (one hundred six thousand two hundred) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2³ × 3² × 5² × 59. Its proper divisors sum to 256,500, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x19ED8.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 9
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 2,601
- Square (n²)
- 11,278,440,000
- Cube (n³)
- 1,197,770,328,000,000
- Divisor count
- 72
- σ(n) — sum of divisors
- 362,700
- φ(n) — Euler's totient
- 27,840
- Sum of prime factors
- 81
Primality
Prime factorization: 2 3 × 3 2 × 5 2 × 59
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√106,200 = [325; (1, 7, 1, 1, 2, 1, 2, 1, 2, 3, 2, 25, 1, 1, 1, 2, 1, 7, 3, 7, 1, 2, 1, 1, …)]
Period length 38 — the block in parentheses repeats forever.
Representations
- In words
- one hundred six thousand two hundred
- Ordinal
- 106200th
- Binary
- 11001111011011000
- Octal
- 317330
- Hexadecimal
- 0x19ED8
- Base64
- AZ7Y
- One's complement
- 4,294,861,095 (32-bit)
- Scientific notation
- 1.062 × 10⁵
- As a duration
- 106,200 s = 1 day, 5 hours, 30 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋 ·
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢
- Greek (Milesian)
- ͵ρϛσʹ
- Mayan (base 20)
- 𝋭·𝋥·𝋪·𝋠
- Chinese
- 十萬六千二百
- Chinese (financial)
- 壹拾萬陸仟貳佰
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 106200, here are decompositions:
- 11 + 106189 = 106200
- 13 + 106187 = 106200
- 19 + 106181 = 106200
- 37 + 106163 = 106200
- 71 + 106129 = 106200
- 79 + 106121 = 106200
- 97 + 106103 = 106200
- 113 + 106087 = 106200
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.158.216.
- Address
- 0.1.158.216
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.158.216
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 106,200 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 106200 first appears in π at position 732,622 of the decimal expansion (the 732,622ordinal-suffix:nd 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°.