105407004 has 24 divisors (see below), whose sum is σ = 260417808. Its totient is φ = 33068800.

The previous prime is 105406993. The next prime is 105407011. The reversal of 105407004 is 400704501.

It is a super-2 number, since 2×105407004² = 22221272984512032, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 258147 + ... + 258554.

It is an arithmetic number, because the mean of its divisors is an integer number (10850742).

Almost surely, 2^105407004 is an apocalyptic number.

It is an amenable number.

105407004 is an abundant number, since it is smaller than the sum of its proper divisors (155010804).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105407004 is a wasteful number, since it uses less digits than its factorization.

105407004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516725 (or 516723 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 105407004 is about 10266.7913195896. The cubic root of 105407004 is about 472.3781741294.

The spelling of 105407004 in words is "one hundred five million, four hundred seven thousand, four".