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105874431 = 3132714729
BaseRepresentation
bin1100100111110…
…00001111111111
321101012222102020
412103320033333
5204100440211
614301131223
72423626545
oct623701777
9241188366
10105874431
1154844033
122b559b13
1318c1c5c0
14100bdd95
159465306
hex64f83ff

105874431 has 8 divisors (see below), whose sum is σ = 152024880. Its totient is φ = 65153472.

The previous prime is 105874387. The next prime is 105874459. The reversal of 105874431 is 134478501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105874431 - 26 = 105874367 is a prime.

It is a super-2 number, since 2×1058744312 = 22418790279147522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105874392 and 105874401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105874031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1357326 + ... + 1357403.

It is an arithmetic number, because the mean of its divisors is an integer number (19003110).

Almost surely, 2105874431 is an apocalyptic number.

105874431 is a deficient number, since it is larger than the sum of its proper divisors (46150449).

105874431 is a wasteful number, since it uses less digits than its factorization.

105874431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2714745.

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 105874431 is about 10289.5301642009. The cubic root of 105874431 is about 473.0753976654.

The spelling of 105874431 in words is "one hundred five million, eight hundred seventy-four thousand, four hundred thirty-one".

Divisors: 1 3 13 39 2714729 8144187 35291477 105874431