100978991280 has 160 divisors (see below), whose sum is σ = 347970585600. Its totient is φ = 26915804928.

The previous prime is 100978991251. The next prime is 100978991317. The reversal of 100978991280 is 82199879001.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 5561577 + ... + 5579703.

It is an arithmetic number, because the mean of its divisors is an integer number (2174816160).

Almost surely, 2^100978991280 is an apocalyptic number.

100978991280 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 100978991280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173985292800).

100978991280 is an abundant number, since it is smaller than the sum of its proper divisors (246991594320).

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

100978991280 is a wasteful number, since it uses less digits than its factorization.

100978991280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20728 (or 20716 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 54.

The spelling of 100978991280 in words is "one hundred billion, nine hundred seventy-eight million, nine hundred ninety-one thousand, two hundred eighty".