109828400 has 120 divisors (see below), whose sum is σ = 291759600. Its totient is φ = 39398400.

The previous prime is 109828399. The next prime is 109828421. The reversal of 109828400 is 4828901.

It is a happy number.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 479486 + ... + 479714.

It is an arithmetic number, because the mean of its divisors is an integer number (2431330).

Almost surely, 2^109828400 is an apocalyptic number.

109828400 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 109828400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145879800).

109828400 is an abundant number, since it is smaller than the sum of its proper divisors (181931200).

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

109828400 is a wasteful number, since it uses less digits than its factorization.

109828400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 109828400 is about 10479.9045797183. The cubic root of 109828400 is about 478.8927022013.

The spelling of 109828400 in words is "one hundred nine million, eight hundred twenty-eight thousand, four hundred".