100752138 has 24 divisors (see below), whose sum is σ = 218646948. Its totient is φ = 33530112.

The previous prime is 100752133. The next prime is 100752151. The reversal of 100752138 is 831257001.

100752138 is a `hidden beast` number, since 100 + 7 + 521 + 38 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 95121009 + 5631129 = 9753^2 + 2373^2 .

It is not an unprimeable number, because it can be changed into a prime (100752131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7956 + ... + 16272.

Almost surely, 2^100752138 is an apocalyptic number.

100752138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

100752138 is an abundant number, since it is smaller than the sum of its proper divisors (117894810).

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

100752138 is a wasteful number, since it uses less digits than its factorization.

100752138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8998 (or 8995 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 100752138 is about 10037.5364507433. The cubic root of 100752138 is about 465.3196830495.

The spelling of 100752138 in words is "one hundred million, seven hundred fifty-two thousand, one hundred thirty-eight".