100438137 has 20 divisors (see below), whose sum is σ = 151535076. Its totient is φ = 66290400.

The previous prime is 100438133. The next prime is 100438139. The reversal of 100438137 is 731834001.

It can be written as a sum of positive squares in 2 ways, for example, as 54997056 + 45441081 = 7416^2 + 6741^2 .

It is not a de Polignac number, because 100438137 - 2² = 100438133 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 100438137.

It is not an unprimeable number, because it can be changed into a prime (100438133) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2043 + ... + 14319.

Almost surely, 2^100438137 is an apocalyptic number.

It is an amenable number.

100438137 is a deficient number, since it is larger than the sum of its proper divisors (51096939).

100438137 is a wasteful number, since it uses less digits than its factorization.

100438137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12390 (or 12381 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 100438137 is about 10021.8829069192. The cubic root of 100438137 is about 464.8357796795.

The spelling of 100438137 in words is "one hundred million, four hundred thirty-eight thousand, one hundred thirty-seven".