109144800 has 288 divisors, whose sum is σ = 409973760. Its totient is φ = 27993600.

The previous prime is 109144787. The next prime is 109144801. The reversal of 109144800 is 8441901.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109144801) 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 47 ways as a sum of consecutive naturals, for example, 669519 + ... + 669681.

It is an arithmetic number, because the mean of its divisors is an integer number (1423520).

Almost surely, 2^109144800 is an apocalyptic number.

109144800 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 109144800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204986880).

109144800 is an abundant number, since it is smaller than the sum of its proper divisors (300828960).

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

109144800 is a wasteful number, since it uses less digits than its factorization.

109144800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 109144800 is about 10447.2388696727. The cubic root of 109144800 is about 477.8970501254.

The spelling of 109144800 in words is "one hundred nine million, one hundred forty-four thousand, eight hundred".