106,500
106,500 is a composite number, even.
106,500 (one hundred six thousand five hundred) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 5³ × 71. Its proper divisors sum to 207,996, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A004.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 12
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 5,601
- Recamán's sequence
- a(88,187) = 106,500
- Square (n²)
- 11,342,250,000
- Cube (n³)
- 1,207,949,625,000,000
- Divisor count
- 48
- σ(n) — sum of divisors
- 314,496
- φ(n) — Euler's totient
- 28,000
- Sum of prime factors
- 93
Primality
Prime factorization: 2 2 × 3 × 5 3 × 71
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√106,500 = [326; (2, 1, 10, 2, 1, 1, 8, 1, 1, 2, 10, 1, 2, 652)]
Period length 14 — the block in parentheses repeats forever.
Representations
- In words
- one hundred six thousand five hundred
- Ordinal
- 106500th
- Binary
- 11010000000000100
- Octal
- 320004
- Hexadecimal
- 0x1A004
- Base64
- AaAE
- One's complement
- 4,294,860,795 (32-bit)
- Scientific notation
- 1.065 × 10⁵
- As a duration
- 106,500 s = 1 day, 5 hours, 35 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢
- Greek (Milesian)
- ͵ρϛφʹ
- Mayan (base 20)
- 𝋭·𝋦·𝋥·𝋠
- Chinese
- 十萬六千五百
- Chinese (financial)
- 壹拾萬陸仟伍佰
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 106500, here are decompositions:
- 13 + 106487 = 106500
- 47 + 106453 = 106500
- 59 + 106441 = 106500
- 67 + 106433 = 106500
- 73 + 106427 = 106500
- 83 + 106417 = 106500
- 89 + 106411 = 106500
- 103 + 106397 = 106500
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.160.4.
- Address
- 0.1.160.4
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.160.4
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 106,500 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 106500 first appears in π at position 331,835 of the decimal expansion (the 331,835ordinal-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°.