108820000 has 60 divisors (see below), whose sum is σ = 267762726. Its totient is φ = 43520000.

The previous prime is 108819961. The next prime is 108820003. The reversal of 108820000 is 28801.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 5513104 + 103306896 = 2348^2 + 10164^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 108820000.

It is not an unprimeable number, because it can be changed into a prime (108820003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 17280 + ... + 22720.

Almost surely, 2^108820000 is an apocalyptic number.

108820000 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 108820000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133881363).

108820000 is an abundant number, since it is smaller than the sum of its proper divisors (158942726).

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

108820000 is an frugal number, since it uses more digits than its factorization.

108820000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5471 (or 5448 counting only the distinct ones).

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

The square root of 108820000 is about 10431.6825105062. The cubic root of 108820000 is about 477.4225270177.

Adding to 108820000 its reverse (28801), we get a palindrome (108848801).

The spelling of 108820000 in words is "one hundred eight million, eight hundred twenty thousand".