105059904 has 56 divisors (see below), whose sum is σ = 280159968. Its totient is φ = 34744320.

The previous prime is 105059893. The next prime is 105059923. The reversal of 105059904 is 409950501.

It is a super-2 number, since 2×105059904² = 22075166856978432, which contains 22 as substring.

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, 23064 + ... + 27240.

Almost surely, 2^105059904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105059904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140079984).

105059904 is an abundant number, since it is smaller than the sum of its proper divisors (175100064).

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

105059904 is a wasteful number, since it uses less digits than its factorization.

105059904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4323 (or 4313 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 33.

The square root of 105059904 is about 10249.8733650714. The cubic root of 105059904 is about 471.8590980358.

The spelling of 105059904 in words is "one hundred five million, fifty-nine thousand, nine hundred four".