100939332996 has 144 divisors (see below), whose sum is σ = 275113832448. Its totient is φ = 31113720000.

The previous prime is 100939332979. The next prime is 100939333009. The reversal of 100939332996 is 699233939001.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44840871 + ... + 44843121.

Almost surely, 2^100939332996 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100939332996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137556916224).

100939332996 is an abundant number, since it is smaller than the sum of its proper divisors (174174499452).

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

100939332996 is a wasteful number, since it uses less digits than its factorization.

100939332996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4062 (or 4057 counting only the distinct ones).

The product of its (nonzero) digits is 2125764, while the sum is 54.

The spelling of 100939332996 in words is "one hundred billion, nine hundred thirty-nine million, three hundred thirty-two thousand, nine hundred ninety-six".