103137 has 8 divisors (see below), whose sum is σ = 142080. Its totient is φ = 66480.

The previous prime is 103123. The next prime is 103141. The reversal of 103137 is 731301.

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

It is not a de Polignac number, because 103137 - 2⁸ = 102881 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 103137.

It is not an unprimeable number, because it can be changed into a prime (103177) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 462 + ... + 647.

It is an arithmetic number, because the mean of its divisors is an integer number (17760).

2¹⁰³¹³⁷ is an apocalyptic number.

It is an amenable number.

103137 is a deficient number, since it is larger than the sum of its proper divisors (38943).

103137 is a wasteful number, since it uses less digits than its factorization.

103137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143.

The product of its (nonzero) digits is 63, while the sum is 15.

The square root of 103137 is about 321.1494978978. The cubic root of 103137 is about 46.8962552493.

Adding to 103137 its reverse (731301), we get a palindrome (834438).

The spelling of 103137 in words is "one hundred three thousand, one hundred thirty-seven".