108117 has 12 divisors (see below), whose sum is σ = 160524. Its totient is φ = 70080.

The previous prime is 108109. The next prime is 108127. The reversal of 108117 is 711801.

It can be written as a sum of positive squares in 2 ways, for example, as 53361 + 54756 = 231^2 + 234^2 .

It is not a de Polignac number, because 108117 - 2³ = 108109 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 108117.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 108117.

It is not an unprimeable number, because it can be changed into a prime (108107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 223 + ... + 515.

It is an arithmetic number, because the mean of its divisors is an integer number (13377).

2¹⁰⁸¹¹⁷ is an apocalyptic number.

It is an amenable number.

108117 is a deficient number, since it is larger than the sum of its proper divisors (52407).

108117 is a wasteful number, since it uses less digits than its factorization.

108117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 18.

The square root of 108117 is about 328.8114961494. The cubic root of 108117 is about 47.6392221975.

Adding to 108117 its reverse (711801), we get a palindrome (819918).

It can be divided in two parts, 108 and 117, that added together give a square (225 = 15²).

The spelling of 108117 in words is "one hundred eight thousand, one hundred seventeen".