105,400
105,400 is a composite number, even.
105,400 (one hundred five thousand four hundred) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2³ × 5² × 17 × 31. Its proper divisors sum to 162,440, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x19BB8.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 10
- Digit product
- 0
- Digital root
- 1
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 4,501
- Recamán's sequence
- a(89,659) = 105,400
- Square (n²)
- 11,109,160,000
- Cube (n³)
- 1,170,905,464,000,000
- Divisor count
- 48
- σ(n) — sum of divisors
- 267,840
- φ(n) — Euler's totient
- 38,400
- Sum of prime factors
- 64
Primality
Prime factorization: 2 3 × 5 2 × 17 × 31
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√105,400 = [324; (1, 1, 1, 7, 1, 7, 7, 1, 1, 1, 1, 12, 1, 1, 1, 4, 1, 2, 2, 2, 1, 3, 7, 2, …)]
Representations
- In words
- one hundred five thousand four hundred
- Ordinal
- 105400th
- Binary
- 11001101110111000
- Octal
- 315670
- Hexadecimal
- 0x19BB8
- Base64
- AZu4
- One's complement
- 4,294,861,895 (32-bit)
- Scientific notation
- 1.054 × 10⁵
- As a duration
- 105,400 s = 1 day, 5 hours, 16 minutes, 40 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢
- Greek (Milesian)
- ͵ρευʹ
- Mayan (base 20)
- 𝋭·𝋣·𝋪·𝋠
- Chinese
- 一十萬五千四百
- Chinese (financial)
- 壹拾萬伍仟肆佰
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 105400, here are decompositions:
- 3 + 105397 = 105400
- 11 + 105389 = 105400
- 41 + 105359 = 105400
- 59 + 105341 = 105400
- 131 + 105269 = 105400
- 137 + 105263 = 105400
- 149 + 105251 = 105400
- 173 + 105227 = 105400
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.155.184.
- Address
- 0.1.155.184
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.155.184
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 105,400 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 105400 first appears in π at position 556,107 of the decimal expansion (the 556,107ordinal-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.