100016931840 has 704 divisors, whose sum is σ = 388068753408. Its totient is φ = 21499084800.

The previous prime is 100016931821. The next prime is 100016931857. The reversal of 100016931840 is 48139610001.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 123325035 + ... + 123325845.

Almost surely, 2^100016931840 is an apocalyptic number.

100016931840 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 100016931840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194034376704).

100016931840 is an abundant number, since it is smaller than the sum of its proper divisors (288051821568).

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

100016931840 is a wasteful number, since it uses less digits than its factorization.

100016931840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The spelling of 100016931840 in words is "one hundred billion, sixteen million, nine hundred thirty-one thousand, eight hundred forty".