100878920940 has 384 divisors, whose sum is σ = 342010626048. Its totient is φ = 21730959360.

The previous prime is 100878920903. The next prime is 100878920953. The reversal of 100878920940 is 49029878001.

It is a self number, because there is not a number n which added to its sum of digits gives 100878920940.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 216014587 + ... + 216015053.

It is an arithmetic number, because the mean of its divisors is an integer number (890652672).

Almost surely, 2^100878920940 is an apocalyptic number.

100878920940 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 100878920940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171005313024).

100878920940 is an abundant number, since it is smaller than the sum of its proper divisors (241131705108).

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

100878920940 is a wasteful number, since it uses less digits than its factorization.

100878920940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 48.

The spelling of 100878920940 in words is "one hundred billion, eight hundred seventy-eight million, nine hundred twenty thousand, nine hundred forty".