108456 has 16 divisors (see below), whose sum is σ = 271200. Its totient is φ = 36144.

The previous prime is 108439. The next prime is 108457. The reversal of 108456 is 654801.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 4519 = 108456 / (1 + 0 + 8 + 4 + 5 + 6).

It is not an unprimeable number, because it can be changed into a prime (108457) 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, 2236 + ... + 2283.

It is an arithmetic number, because the mean of its divisors is an integer number (16950).

2¹⁰⁸⁴⁵⁶ is an apocalyptic number.

It is an amenable number.

108456 is an abundant number, since it is smaller than the sum of its proper divisors (162744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

108456 is a wasteful number, since it uses less digits than its factorization.

108456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4528 (or 4524 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 108456 is about 329.3265856259. The cubic root of 108456 is about 47.6889610502.

The spelling of 108456 in words is "one hundred eight thousand, four hundred fifty-six".