108113 has 4 divisors (see below), whose sum is σ = 109668. Its totient is φ = 106560.

The previous prime is 108109. The next prime is 108127. The reversal of 108113 is 311801.

108113 = 232² + 233².

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 311801 = 7 ⋅44543.

It can be written as a sum of positive squares in 2 ways, for example, as 53824 + 54289 = 232^2 + 233^2 .

It is a cyclic number.

It is not a de Polignac number, because 108113 - 2² = 108109 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (108193) 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, 668 + ... + 813.

It is an arithmetic number, because the mean of its divisors is an integer number (27417).

2¹⁰⁸¹¹³ is an apocalyptic number.

108113 is the 233-rd centered square number.

It is an amenable number.

108113 is a deficient number, since it is larger than the sum of its proper divisors (1555).

108113 is an equidigital number, since it uses as much as digits as its factorization.

108113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1554.

The product of its (nonzero) digits is 24, while the sum is 14.

The square root of 108113 is about 328.8054135807. The cubic root of 108113 is about 47.6386346882.

Adding to 108113 its reverse (311801), we get a palindrome (419914).

The spelling of 108113 in words is "one hundred eight thousand, one hundred thirteen".