108561600 has 336 divisors, whose sum is σ = 453542400. Its totient is φ = 24744960.

The previous prime is 108561599. The next prime is 108561613. The reversal of 108561600 is 6165801.

108561600 is a `hidden beast` number, since 1 + 0 + 8 + 56 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 302221 + ... + 302579.

Almost surely, 2^108561600 is an apocalyptic number.

108561600 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 108561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226771200).

108561600 is an abundant number, since it is smaller than the sum of its proper divisors (344980800).

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

108561600 is a wasteful number, since it uses less digits than its factorization.

108561600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 108561600 is about 10419.2898030528. The cubic root of 108561600 is about 477.0443374791.

The spelling of 108561600 in words is "one hundred eight million, five hundred sixty-one thousand, six hundred".