904005105 has 32 divisors (see below), whose sum is σ = 1529515008. Its totient is φ = 455193600.

The previous prime is 904005083. The next prime is 904005119. The reversal of 904005105 is 501500409.

904005105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 904005105 - 2⁹ = 904004593 is a prime.

It is a super-2 number, since 2×904005105² = 1634450459732122050, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4644 + ... + 42773.

It is an arithmetic number, because the mean of its divisors is an integer number (47797344).

Almost surely, 2^904005105 is an apocalyptic number.

It is an amenable number.

904005105 is a deficient number, since it is larger than the sum of its proper divisors (625509903).

904005105 is a wasteful number, since it uses less digits than its factorization.

904005105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47497.

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 904005105 is about 30066.6776515131. The cubic root of 904005105 is about 966.9194455201.

The spelling of 904005105 in words is "nine hundred four million, five thousand, one hundred five".