107131 has 4 divisors (see below), whose sum is σ = 108000. Its totient is φ = 106264.

The previous prime is 107123. The next prime is 107137. The reversal of 107131 is 131701.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 107131 - 2³ = 107123 is a prime.

It is a super-2 number, since 2×107131² = 22954102322, which contains 22 as substring.

It is a Duffinian number.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (107137) 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, 211 + ... + 508.

It is an arithmetic number, because the mean of its divisors is an integer number (27000).

2¹⁰⁷¹³¹ is an apocalyptic number.

107131 is a deficient number, since it is larger than the sum of its proper divisors (869).

107131 is an equidigital number, since it uses as much as digits as its factorization.

107131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868.

The product of its (nonzero) digits is 21, while the sum is 13.

The square root of 107131 is about 327.3087227680. The cubic root of 107131 is about 47.4939604510.

Adding to 107131 its reverse (131701), we get a palindrome (238832).

The spelling of 107131 in words is "one hundred seven thousand, one hundred thirty-one".