100288880 has 40 divisors (see below), whose sum is σ = 237005664. Its totient is φ = 39456000.

The previous prime is 100288871. The next prime is 100288891. The reversal of 100288880 is 88882001.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 100288880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5396 + ... + 15155.

Almost surely, 2^100288880 is an apocalyptic number.

100288880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100288880 is an abundant number, since it is smaller than the sum of its proper divisors (136716784).

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

100288880 is a wasteful number, since it uses less digits than its factorization.

100288880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20625 (or 20619 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 35.

The square root of 100288880 is about 10014.4335835832. The cubic root of 100288880 is about 464.6054077245.

The spelling of 100288880 in words is "one hundred million, two hundred eighty-eight thousand, eight hundred eighty".