105,040
105,040 is a composite number, even.
105,040 (one hundred five thousand forty) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 5 × 13 × 101. Its proper divisors sum to 160,568, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x19A50.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 10
- Digit product
- 0
- Digital root
- 1
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 40,501
- Recamán's sequence
- a(91,003) = 105,040
- Square (n²)
- 11,033,401,600
- Cube (n³)
- 1,158,948,504,064,000
- Divisor count
- 40
- σ(n) — sum of divisors
- 265,608
- φ(n) — Euler's totient
- 38,400
- Sum of prime factors
- 127
Primality
Prime factorization: 2 4 × 5 × 13 × 101
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√105,040 = [324; (10, 7, 1, 9, 3, 1, 39, 1, 3, 9, 1, 7, 10, 648)]
Period length 14 — the block in parentheses repeats forever.
Representations
- In words
- one hundred five thousand forty
- Ordinal
- 105040th
- Binary
- 11001101001010000
- Octal
- 315120
- Hexadecimal
- 0x19A50
- Base64
- AZpQ
- One's complement
- 4,294,862,255 (32-bit)
- Scientific notation
- 1.0504 × 10⁵
- As a duration
- 105,040 s = 1 day, 5 hours, 10 minutes, 40 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋 𒌋𒌋𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ρεμʹ
- Mayan (base 20)
- 𝋭·𝋢·𝋬·𝋠
- Chinese
- 一十萬五千零四十
- Chinese (financial)
- 壹拾萬伍仟零肆拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 105040, here are decompositions:
- 3 + 105037 = 105040
- 17 + 105023 = 105040
- 41 + 104999 = 105040
- 53 + 104987 = 105040
- 107 + 104933 = 105040
- 149 + 104891 = 105040
- 191 + 104849 = 105040
- 239 + 104801 = 105040
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.154.80.
- Address
- 0.1.154.80
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.154.80
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 105,040 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 105040 first appears in π at position 905,655 of the decimal expansion (the 905,655ordinal-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
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.