100078809600 has 1440 divisors, whose sum is σ = 442163449728. Its totient is φ = 19464192000.

The previous prime is 100078809541. The next prime is 100078809613. The reversal of 100078809600 is 6908870001.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 552921510 + ... + 552921690.

Almost surely, 2^100078809600 is an apocalyptic number.

100078809600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100078809600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221081724864).

100078809600 is an abundant number, since it is smaller than the sum of its proper divisors (342084640128).

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

100078809600 is a wasteful number, since it uses less digits than its factorization.

100078809600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The spelling of 100078809600 in words is "one hundred billion, seventy-eight million, eight hundred nine thousand, six hundred".