100078506160 has 40 divisors (see below), whose sum is σ = 238093756560. Its totient is φ = 39100438272.

The previous prime is 100078506139. The next prime is 100078506163. The reversal of 100078506160 is 61605870001.

100078506160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (100078506163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14542855 + ... + 14549734.

It is an arithmetic number, because the mean of its divisors is an integer number (5952343914).

Almost surely, 2^100078506160 is an apocalyptic number.

100078506160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100078506160 is an abundant number, since it is smaller than the sum of its proper divisors (138015250400).

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

100078506160 is a wasteful number, since it uses less digits than its factorization.

100078506160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29092645 (or 29092639 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

The spelling of 100078506160 in words is "one hundred billion, seventy-eight million, five hundred six thousand, one hundred sixty".