105064904 has 32 divisors (see below), whose sum is σ = 231228480. Its totient is φ = 43809984.

The previous prime is 105064901. The next prime is 105064909. The reversal of 105064904 is 409460501.

It is a super-2 number, since 2×105064904² = 22077268105058432, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105064901) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 23282 + ... + 27425.

It is an arithmetic number, because the mean of its divisors is an integer number (7225890).

Almost surely, 2^105064904 is an apocalyptic number.

105064904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105064904 is an abundant number, since it is smaller than the sum of its proper divisors (126163576).

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

105064904 is a wasteful number, since it uses less digits than its factorization.

105064904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50757 (or 50753 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 105064904 is about 10250.1172676219. The cubic root of 105064904 is about 471.8665834734.

The spelling of 105064904 in words is "one hundred five million, sixty-four thousand, nine hundred four".