107537 has 4 divisors (see below), whose sum is σ = 109620. Its totient is φ = 105456.

The previous prime is 107509. The next prime is 107563. The reversal of 107537 is 735701.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 96721 + 10816 = 311^2 + 104^2 .

It is a cyclic number.

It is not a de Polignac number, because 107537 - 2⁶ = 107473 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 107537.

It is not an unprimeable number, because it can be changed into a prime (107507) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 962 + ... + 1067.

It is an arithmetic number, because the mean of its divisors is an integer number (27405).

2¹⁰⁷⁵³⁷ is an apocalyptic number.

It is an amenable number.

107537 is a deficient number, since it is larger than the sum of its proper divisors (2083).

107537 is an equidigital number, since it uses as much as digits as its factorization.

107537 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2082.

The product of its (nonzero) digits is 735, while the sum is 23.

The square root of 107537 is about 327.9283458318. The cubic root of 107537 is about 47.5538816079.

The spelling of 107537 in words is "one hundred seven thousand, five hundred thirty-seven".