100075689 has 48 divisors (see below), whose sum is σ = 175195200. Its totient is φ = 56282688.

The previous prime is 100075687. The next prime is 100075697. The reversal of 100075689 is 986570001.

It is not a de Polignac number, because 100075689 - 2¹ = 100075687 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (100075687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88077 + ... + 89205.

It is an arithmetic number, because the mean of its divisors is an integer number (3649900).

Almost surely, 2^100075689 is an apocalyptic number.

It is an amenable number.

100075689 is a deficient number, since it is larger than the sum of its proper divisors (75119511).

100075689 is a wasteful number, since it uses less digits than its factorization.

100075689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1219 (or 1206 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 100075689 is about 10003.7837341678. The cubic root of 100075689 is about 464.2759595674.

The spelling of 100075689 in words is "one hundred million, seventy-five thousand, six hundred eighty-nine".