109086400 has 84 divisors (see below), whose sum is σ = 277794720. Its totient is φ = 42112000.

The previous prime is 109086379. The next prime is 109086407. The reversal of 109086400 is 4680901.

It is not an unprimeable number, because it can be changed into a prime (109086407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45225 + ... + 47575.

It is an arithmetic number, because the mean of its divisors is an integer number (3307080).

Almost surely, 2^109086400 is an apocalyptic number.

109086400 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 109086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138897360).

109086400 is an abundant number, since it is smaller than the sum of its proper divisors (168708320).

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

109086400 is a wasteful number, since it uses less digits than its factorization.

109086400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2402 (or 2387 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 109086400 is about 10444.4434988179. The cubic root of 109086400 is about 477.8117989515.

The spelling of 109086400 in words is "one hundred nine million, eighty-six thousand, four hundred".