108810 has 64 divisors (see below), whose sum is σ = 322560. Its totient is φ = 25920.

The previous prime is 108803. The next prime is 108821. The reversal of 108810 is 18801.

It is a happy number.

It is a super-2 number, since 2×108810² = 23679232200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (18) 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 (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 108810.

It is an unprimeable 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 31 ways as a sum of consecutive naturals, for example, 3495 + ... + 3525.

It is an arithmetic number, because the mean of its divisors is an integer number (5040).

2¹⁰⁸⁸¹⁰ is an apocalyptic number.

108810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 108810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161280).

108810 is an abundant number, since it is smaller than the sum of its proper divisors (213750).

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

108810 is a wasteful number, since it uses less digits than its factorization.

108810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 108810 is about 329.8636081777. The cubic root of 108810 is about 47.7407902342.

Subtracting from 108810 its reverse (18801), we obtain a palindrome (90009).

The spelling of 108810 in words is "one hundred eight thousand, eight hundred ten".