109090800 has 600 divisors, whose sum is σ = 494891936. Its totient is φ = 22394880.

The previous prime is 109090789. The next prime is 109090897. The reversal of 109090800 is 8090901.

109090800 = 121³ + 122³ + ... + 159³.

It is a tau number, because it is divible by the number of its divisors (600).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2948382 + ... + 2948418.

Almost surely, 2^109090800 is an apocalyptic number.

109090800 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 109090800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247445968).

109090800 is an abundant number, since it is smaller than the sum of its proper divisors (385801136).

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

109090800 is a wasteful number, since it uses less digits than its factorization.

109090800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 109090800 is about 10444.6541350109. The cubic root of 109090800 is about 477.8182230449.

The spelling of 109090800 in words is "one hundred nine million, ninety thousand, eight hundred".