107538 has 8 divisors (see below), whose sum is σ = 215088. Its totient is φ = 35844.

The previous prime is 107509. The next prime is 107563. The reversal of 107538 is 835701.

It is a sphenic number, since it is the product of 3 distinct primes.

107538 is an admirable number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8956 + ... + 8967.

It is an arithmetic number, because the mean of its divisors is an integer number (26886).

2¹⁰⁷⁵³⁸ is an apocalyptic number.

107538 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

107538 is a wasteful number, since it uses less digits than its factorization.

107538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17928.

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 107538 is about 327.9298705516. The cubic root of 107538 is about 47.5540290106.

The spelling of 107538 in words is "one hundred seven thousand, five hundred thirty-eight".