109424800 has 144 divisors (see below), whose sum is σ = 294356160. Its totient is φ = 39536640.

The previous prime is 109424797. The next prime is 109424813. The reversal of 109424800 is 8424901.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 349444 + ... + 349756.

It is an arithmetic number, because the mean of its divisors is an integer number (2044140).

Almost surely, 2^109424800 is an apocalyptic number.

109424800 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 109424800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147178080).

109424800 is an abundant number, since it is smaller than the sum of its proper divisors (184931360).

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

109424800 is a wasteful number, since it uses less digits than its factorization.

109424800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 109424800 is about 10460.6309561135. The cubic root of 109424800 is about 478.3053667546.

It can be divided in two parts, 109424 and 800, that added together give a square (110224 = 332²).

The spelling of 109424800 in words is "one hundred nine million, four hundred twenty-four thousand, eight hundred".