100988734032 has 120 divisors (see below), whose sum is σ = 297887734560. Its totient is φ = 31849977600.

The previous prime is 100988734027. The next prime is 100988734079. The reversal of 100988734032 is 230437889001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2129782 + ... + 2176682.

It is an arithmetic number, because the mean of its divisors is an integer number (2482397788).

Almost surely, 2^100988734032 is an apocalyptic number.

100988734032 is a gapful number since it is divisible by the number (12) 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 100988734032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148943867280).

100988734032 is an abundant number, since it is smaller than the sum of its proper divisors (196899000528).

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

100988734032 is a wasteful number, since it uses less digits than its factorization.

100988734032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47721 (or 47712 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 100988734032 in words is "one hundred billion, nine hundred eighty-eight million, seven hundred thirty-four thousand, thirty-two".