109090400 has 72 divisors (see below), whose sum is σ = 280372680. Its totient is φ = 41333760.

The previous prime is 109090379. The next prime is 109090417. The reversal of 109090400 is 4090901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11612 + ... + 18788.

It is an arithmetic number, because the mean of its divisors is an integer number (3894065).

Almost surely, 2^109090400 is an apocalyptic number.

109090400 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 109090400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140186340).

109090400 is an abundant number, since it is smaller than the sum of its proper divisors (171282280).

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

109090400 is a wasteful number, since it uses less digits than its factorization.

109090400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7216 (or 7203 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 23.

The square root of 109090400 is about 10444.6349864416. The cubic root of 109090400 is about 477.8176390435.

The spelling of 109090400 in words is "one hundred nine million, ninety thousand, four hundred".