109464800 has 72 divisors (see below), whose sum is σ = 268717176. Its totient is φ = 43543040.

The previous prime is 109464767. The next prime is 109464811. The reversal of 109464800 is 8464901.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

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, 234167 + ... + 234633.

It is an arithmetic number, because the mean of its divisors is an integer number (3732183).

Almost surely, 2^109464800 is an apocalyptic number.

109464800 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 109464800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134358588).

109464800 is an abundant number, since it is smaller than the sum of its proper divisors (159252376).

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

109464800 is a wasteful number, since it uses less digits than its factorization.

109464800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 109464800 is about 10462.5427119797. The cubic root of 109464800 is about 478.3636408201.

The spelling of 109464800 in words is "one hundred nine million, four hundred sixty-four thousand, eight hundred".