108080 has 40 divisors (see below), whose sum is σ = 288672. Its totient is φ = 36864.

The previous prime is 108079. The next prime is 108089. The reversal of 108080 is 80801.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (108089) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 464 + ... + 656.

2¹⁰⁸⁰⁸⁰ is an apocalyptic number.

108080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144336).

108080 is an abundant number, since it is smaller than the sum of its proper divisors (180592).

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

108080 is a wasteful number, since it uses less digits than its factorization.

108080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

The square root of 108080 is about 328.7552280953. The cubic root of 108080 is about 47.6337871832.

Adding to 108080 its reverse (80801), we get a palindrome (188881).

The spelling of 108080 in words is "one hundred eight thousand, eighty".