108220800 has 96 divisors (see below), whose sum is σ = 356483880. Its totient is φ = 28856320.

The previous prime is 108220787. The next prime is 108220807. The reversal of 108220800 is 8022801.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108220807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3964 + ... + 15236.

Almost surely, 2^108220800 is an apocalyptic number.

108220800 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 108220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178241940).

108220800 is an abundant number, since it is smaller than the sum of its proper divisors (248263080).

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

108220800 is a wasteful number, since it uses less digits than its factorization.

108220800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11300 (or 11283 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 108220800 is about 10402.9226662511. The cubic root of 108220800 is about 476.5446300027.

The spelling of 108220800 in words is "one hundred eight million, two hundred twenty thousand, eight hundred".