106,801
106,801 is a prime, odd.
106,801 (one hundred six thousand eight hundred one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1A131.
Interestingness
Properties
- Parity
- Odd
- Digit count
- 6
- Digit sum
- 16
- Digit product
- 0
- Digital root
- 7
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 108,601
- Flips to (rotate 180°)
- 108,901
- Recamán's sequence
- a(81,657) = 106,801
- Square (n²)
- 11,406,453,601
- Cube (n³)
- 1,218,220,651,040,401
- Divisor count
- 2
- σ(n) — sum of divisors
- 106,802
- φ(n) — Euler's totient
- 106,800
Primality
106,801 is prime. It has exactly two divisors: 1 and itself.
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√106,801 = [326; (1, 4, 9, 3, 1, 2, 40, 2, 19, 1, 13, 1, 1, 2, 1, 9, 2, 81, 4, 2, 3, 3, 2, 4, …)]
Period length 43 — the block in parentheses repeats forever.
Representations
- In words
- one hundred six thousand eight hundred one
- Ordinal
- 106801st
- Binary
- 11010000100110001
- Octal
- 320461
- Hexadecimal
- 0x1A131
- Base64
- AaEx
- One's complement
- 4,294,860,494 (32-bit)
- Scientific notation
- 1.06801 × 10⁵
- As a duration
- 106,801 s = 1 day, 5 hours, 40 minutes, 1 second
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒁹
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺
- Greek (Milesian)
- ͵ρϛωαʹ
- Mayan (base 20)
- 𝋭·𝋧·𝋠·𝋡
- Chinese
- 十萬六千八百零一
- Chinese (financial)
- 壹拾萬陸仟捌佰零壹
Also seen as
As an unsigned 32-bit integer, this is the IPv4 address 0.1.161.49.
- Address
- 0.1.161.49
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.161.49
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 106,801 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 106801 first appears in π at position 239,957 of the decimal expansion (the 239,957ordinal-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
- Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.