100738640 has 40 divisors (see below), whose sum is σ = 239937768. Its totient is φ = 39311360.

The previous prime is 100738639. The next prime is 100738669. The reversal of 100738640 is 46837001.

It can be written as a sum of positive squares in 4 ways, for example, as 7268416 + 93470224 = 2696^2 + 9668^2 .

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

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, 12077 + ... + 18636.

Almost surely, 2^100738640 is an apocalyptic number.

100738640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100738640 is an abundant number, since it is smaller than the sum of its proper divisors (139199128).

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

100738640 is a wasteful number, since it uses less digits than its factorization.

100738640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30767 (or 30761 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 100738640 is about 10036.8640520832. The cubic root of 100738640 is about 465.2989021321.

The spelling of 100738640 in words is "one hundred million, seven hundred thirty-eight thousand, six hundred forty".