100988032 has 32 divisors (see below), whose sum is σ = 209940480. Its totient is φ = 48297216.

The previous prime is 100988029. The next prime is 100988053. The reversal of 100988032 is 230889001.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 100987985 and 100988003.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14208 + ... + 20095.

It is an arithmetic number, because the mean of its divisors is an integer number (6560640).

Almost surely, 2^100988032 is an apocalyptic number.

It is an amenable number.

100988032 is an abundant number, since it is smaller than the sum of its proper divisors (108952448).

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

100988032 is an equidigital number, since it uses as much as digits as its factorization.

100988032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34340 (or 34328 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 100988032 is about 10049.2801732263. The cubic root of 100988032 is about 465.6825556347.

The spelling of 100988032 in words is "one hundred million, nine hundred eighty-eight thousand, thirty-two".