107006904 has 48 divisors (see below), whose sum is σ = 293794800. Its totient is φ = 35178624.

The previous prime is 107006903. The next prime is 107006909. The reversal of 107006904 is 409600701.

It is a super-2 number, since 2×107006904² = 22900955007330432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107006903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4924 + ... + 15435.

It is an arithmetic number, because the mean of its divisors is an integer number (6120725).

Almost surely, 2^107006904 is an apocalyptic number.

It is an amenable number.

107006904 is an abundant number, since it is smaller than the sum of its proper divisors (186787896).

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

107006904 is a wasteful number, since it uses less digits than its factorization.

107006904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20444 (or 20437 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 107006904 is about 10344.4141448416. The cubic root of 107006904 is about 474.7561503678.

The spelling of 107006904 in words is "one hundred seven million, six thousand, nine hundred four".