110664400 has 120 divisors (see below), whose sum is σ = 331568064. Its totient is φ = 34483200.

The previous prime is 110664391. The next prime is 110664439. The reversal of 110664400 is 4466011.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29004 + ... + 32596.

Almost surely, 2^110664400 is an apocalyptic number.

110664400 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 110664400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165784032).

110664400 is an abundant number, since it is smaller than the sum of its proper divisors (220903664).

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

110664400 is a wasteful number, since it uses less digits than its factorization.

110664400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3629 (or 3618 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 110664400 is about 10519.7148250321. The cubic root of 110664400 is about 480.1047225212.

The spelling of 110664400 in words is "one hundred ten million, six hundred sixty-four thousand, four hundred".