105180804 has 18 divisors (see below), whose sum is σ = 265873790. Its totient is φ = 35060256.

The previous prime is 105180787. The next prime is 105180811. The reversal of 105180804 is 408081501.

It can be written as a sum of positive squares in only one way, i.e., 62252100 + 42928704 = 7890^2 + 6552^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×105180804² = 22126003060172832, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1460809 + ... + 1460880.

Almost surely, 2^105180804 is an apocalyptic number.

It is an amenable number.

105180804 is an abundant number, since it is smaller than the sum of its proper divisors (160692986).

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

105180804 is a wasteful number, since it uses less digits than its factorization.

105180804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2921699 (or 2921694 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 105180804 is about 10255.7693031776. The cubic root of 105180804 is about 472.0400294022.

The spelling of 105180804 in words is "one hundred five million, one hundred eighty thousand, eight hundred four".