100988975 has 12 divisors (see below), whose sum is σ = 130671696. Its totient is φ = 77278080.

The previous prime is 100988969. The next prime is 100988981. The reversal of 100988975 is 579889001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100988969) and next prime (100988981).

It is not a de Polignac number, because 100988975 - 2⁶ = 100988911 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87242 + ... + 88391.

It is an arithmetic number, because the mean of its divisors is an integer number (10889308).

Almost surely, 2^100988975 is an apocalyptic number.

100988975 is a deficient number, since it is larger than the sum of its proper divisors (29682721).

100988975 is a wasteful number, since it uses less digits than its factorization.

100988975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175666 (or 175661 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 47.

The square root of 100988975 is about 10049.3270919002. The cubic root of 100988975 is about 465.6840051044.

The spelling of 100988975 in words is "one hundred million, nine hundred eighty-eight thousand, nine hundred seventy-five".