109166400 has 504 divisors, whose sum is σ = 479999040. Its totient is φ = 23639040.

The previous prime is 109166399. The next prime is 109166417. The reversal of 109166400 is 4661901.

109166400 is a `hidden beast` number, since 1 + 0 + 9 + 16 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 71 ways as a sum of consecutive naturals, for example, 5745591 + ... + 5745609.

Almost surely, 2^109166400 is an apocalyptic number.

109166400 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 109166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239999520).

109166400 is an abundant number, since it is smaller than the sum of its proper divisors (370832640).

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

109166400 is a wasteful number, since it uses less digits than its factorization.

109166400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 109166400 is about 10448.2725844993. The cubic root of 109166400 is about 477.9285736777.

The spelling of 109166400 in words is "one hundred nine million, one hundred sixty-six thousand, four hundred".