106,010
106,010 is a composite number, even.
106,010 (one hundred six thousand ten) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 5 × 10,601. Written other ways, in hexadecimal, 0x19E1A.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 8
- Digit product
- 0
- Digital root
- 8
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 10,601
- Flips to (rotate 180°)
- 10,901
- Recamán's sequence
- a(89,151) = 106,010
- Square (n²)
- 11,238,120,100
- Cube (n³)
- 1,191,353,111,801,000
- Divisor count
- 8
- σ(n) — sum of divisors
- 190,836
- φ(n) — Euler's totient
- 42,400
- Sum of prime factors
- 10,608
Primality
Prime factorization: 2 × 5 × 10601
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√106,010 = [325; (1, 1, 2, 4, 2, 5, 1, 2, 3, 1, 2, 3, 1, 6, 1, 1, 4, 1, 15, 15, 1, 4, 1, 1, …)]
Period length 39 — the block in parentheses repeats forever.
Representations
- In words
- one hundred six thousand ten
- Ordinal
- 106010th
- Binary
- 11001111000011010
- Octal
- 317032
- Hexadecimal
- 0x19E1A
- Base64
- AZ4a
- One's complement
- 4,294,861,285 (32-bit)
- Scientific notation
- 1.0601 × 10⁵
- As a duration
- 106,010 s = 1 day, 5 hours, 26 minutes, 50 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓎆
- Greek (Milesian)
- ͵ρϛιʹ
- Mayan (base 20)
- 𝋭·𝋥·𝋠·𝋪
- Chinese
- 十萬六千零一十
- Chinese (financial)
- 壹拾萬陸仟零壹拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 106010, here are decompositions:
- 13 + 105997 = 106010
- 43 + 105967 = 106010
- 67 + 105943 = 106010
- 97 + 105913 = 106010
- 103 + 105907 = 106010
- 127 + 105883 = 106010
- 139 + 105871 = 106010
- 181 + 105829 = 106010
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.158.26.
- Address
- 0.1.158.26
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.158.26
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 106,010 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 106010 first appears in π at position 292,312 of the decimal expansion (the 292,312ordinal-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
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.