105804413 has 32 divisors (see below), whose sum is σ = 133684992. Its totient is φ = 82252800.

The previous prime is 105804409. The next prime is 105804449. The reversal of 105804413 is 314408501.

It is not a de Polignac number, because 105804413 - 2² = 105804409 is a prime.

It is a super-2 number, since 2×105804413² = 22389147620549138, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105804493) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172295 + ... + 172907.

It is an arithmetic number, because the mean of its divisors is an integer number (4177656).

Almost surely, 2^105804413 is an apocalyptic number.

105804413 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

105804413 is a deficient number, since it is larger than the sum of its proper divisors (27880579).

105804413 is a wasteful number, since it uses less digits than its factorization.

105804413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725.

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 105804413 is about 10286.1272109575. The cubic root of 105804413 is about 472.9710882569.

The spelling of 105804413 in words is "one hundred five million, eight hundred four thousand, four hundred thirteen".