108320 has 24 divisors (see below), whose sum is σ = 256284. Its totient is φ = 43264.

The previous prime is 108301. The next prime is 108343. The reversal of 108320 is 23801.

It can be written as a sum of positive squares in 2 ways, for example, as 99856 + 8464 = 316^2 + 92^2 .

It is a junction number, because it is equal to n+sod(n) for n = 108295 and 108304.

It is an unprimeable number.

108320 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 179 + ... + 498.

2¹⁰⁸³²⁰ is an apocalyptic number.

108320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

108320 is an abundant number, since it is smaller than the sum of its proper divisors (147964).

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

108320 is an equidigital number, since it uses as much as digits as its factorization.

108320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 108320 is about 329.1200388916. The cubic root of 108320 is about 47.6690192872.

The spelling of 108320 in words is "one hundred eight thousand, three hundred twenty".