109540800 has 126 divisors (see below), whose sum is σ = 389385048. Its totient is φ = 29207040.

The previous prime is 109540787. The next prime is 109540813. The reversal of 109540800 is 8045901.

It is an interprime number because it is at equal distance from previous prime (109540787) and next prime (109540813).

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 10597 + ... + 18203.

Almost surely, 2^109540800 is an apocalyptic number.

109540800 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 109540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194692524).

109540800 is an abundant number, since it is smaller than the sum of its proper divisors (279844248).

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

109540800 is a wasteful number, since it uses less digits than its factorization.

109540800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7635 (or 7617 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 109540800 is about 10466.1740860737. The cubic root of 109540800 is about 478.4743224462.

The spelling of 109540800 in words is "one hundred nine million, five hundred forty thousand, eight hundred".