106,788
106,788 is a composite number, even.
106,788 (one hundred six thousand seven hundred eighty-eight) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 11 × 809. Its proper divisors sum to 165,372, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A124.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 30
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 887,601
- Recamán's sequence
- a(81,631) = 106,788
- Square (n²)
- 11,403,676,944
- Cube (n³)
- 1,217,775,853,495,872
- Divisor count
- 24
- σ(n) — sum of divisors
- 272,160
- φ(n) — Euler's totient
- 32,320
- Sum of prime factors
- 827
Primality
Prime factorization: 2 2 × 3 × 11 × 809
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√106,788 = [326; (1, 3, 1, 1, 1, 3, 20, 6, 1, 2, 4, 1, 3, 9, 1, 18, 1, 9, 3, 1, 4, 2, 1, 6, …)]
Period length 32 — the block in parentheses repeats forever.
Representations
- In words
- one hundred six thousand seven hundred eighty-eight
- Ordinal
- 106788th
- Binary
- 11010000100100100
- Octal
- 320444
- Hexadecimal
- 0x1A124
- Base64
- AaEk
- One's complement
- 4,294,860,507 (32-bit)
- Scientific notation
- 1.06788 × 10⁵
- As a duration
- 106,788 s = 1 day, 5 hours, 39 minutes, 48 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρϛψπηʹ
- Mayan (base 20)
- 𝋭·𝋦·𝋳·𝋨
- Chinese
- 十萬六千七百八十八
- Chinese (financial)
- 壹拾萬陸仟柒佰捌拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 106788, here are decompositions:
- 5 + 106783 = 106788
- 7 + 106781 = 106788
- 29 + 106759 = 106788
- 37 + 106751 = 106788
- 41 + 106747 = 106788
- 61 + 106727 = 106788
- 67 + 106721 = 106788
- 89 + 106699 = 106788
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.161.36.
- Address
- 0.1.161.36
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.161.36
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 106,788 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 106788 first appears in π at position 410,894 of the decimal expansion (the 410,894ordinal-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
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.