108357 has 8 divisors (see below), whose sum is σ = 152160. Its totient is φ = 68400.

The previous prime is 108347. The next prime is 108359. The reversal of 108357 is 753801.

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

It is not a de Polignac number, because 108357 - 2⁶ = 108293 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

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 108357.

It is not an unprimeable number, because it can be changed into a prime (108359) 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, 894 + ... + 1007.

It is an arithmetic number, because the mean of its divisors is an integer number (19020).

2¹⁰⁸³⁵⁷ is an apocalyptic number.

It is an amenable number.

108357 is a deficient number, since it is larger than the sum of its proper divisors (43803).

108357 is a wasteful number, since it uses less digits than its factorization.

108357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1923.

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 108357 is about 329.1762445864. The cubic root of 108357 is about 47.6744462718.

It can be divided in two parts, 108 and 357, that added together give a triangular number (465 = T₃₀).

The spelling of 108357 in words is "one hundred eight thousand, three hundred fifty-seven".