105005804 has 48 divisors (see below), whose sum is σ = 203132160. Its totient is φ = 47278080.

The previous prime is 105005749. The next prime is 105005863. The reversal of 105005804 is 408500501.

It is a super-2 number, since 2×105005804² = 22052437747372832, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105005804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 229544 + ... + 230000.

It is an arithmetic number, because the mean of its divisors is an integer number (4231920).

Almost surely, 2^105005804 is an apocalyptic number.

It is an amenable number.

105005804 is a deficient number, since it is larger than the sum of its proper divisors (98126356).

105005804 is a wasteful number, since it uses less digits than its factorization.

105005804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 23.

The square root of 105005804 is about 10247.2339682472. The cubic root of 105005804 is about 471.7780904099.

The spelling of 105005804 in words is "one hundred five million, five thousand, eight hundred four".