100075764 has 24 divisors (see below), whose sum is σ = 233972928. Its totient is φ = 33292480.

The previous prime is 100075763. The next prime is 100075769. The reversal of 100075764 is 467570001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100075763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1752 + ... + 14255.

It is an arithmetic number, because the mean of its divisors is an integer number (9748872).

Almost surely, 2^100075764 is an apocalyptic number.

It is an amenable number.

100075764 is an abundant number, since it is smaller than the sum of its proper divisors (133897164).

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

100075764 is a wasteful number, since it uses less digits than its factorization.

100075764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16535 (or 16533 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 100075764 is about 10003.7874827487. The cubic root of 100075764 is about 464.2760755486.

The spelling of 100075764 in words is "one hundred million, seventy-five thousand, seven hundred sixty-four".