107586008904 has 128 divisors (see below), whose sum is σ = 308511504000. Its totient is φ = 30961459200.

The previous prime is 107586008819. The next prime is 107586008921. The reversal of 107586008904 is 409800685701.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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, 351832 + ... + 582200.

It is an arithmetic number, because the mean of its divisors is an integer number (2410246125).

Almost surely, 2^107586008904 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 107586008904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154255752000).

107586008904 is an abundant number, since it is smaller than the sum of its proper divisors (200925495096).

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

107586008904 is a wasteful number, since it uses less digits than its factorization.

107586008904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230479 (or 230475 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The spelling of 107586008904 in words is "one hundred seven billion, five hundred eighty-six million, eight thousand, nine hundred four".