108820 has 12 divisors (see below), whose sum is σ = 228564. Its totient is φ = 43520.

The previous prime is 108803. The next prime is 108821. The reversal of 108820 is 28801.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 59536 + 49284 = 244^2 + 222^2 .

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108821) 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 3 ways as a sum of consecutive naturals, for example, 2701 + ... + 2740.

It is an arithmetic number, because the mean of its divisors is an integer number (19047).

2¹⁰⁸⁸²⁰ is an apocalyptic number.

108820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

108820 is an abundant number, since it is smaller than the sum of its proper divisors (119744).

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

108820 is a wasteful number, since it uses less digits than its factorization.

108820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5450 (or 5448 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 108820 is about 329.8787656094. The cubic root of 108820 is about 47.7422527018.

Subtracting from 108820 its sum of digits (19), we obtain a palindrome (108801).

The spelling of 108820 in words is "one hundred eight thousand, eight hundred twenty".