108345600 has 540 divisors, whose sum is σ = 460022640. Its totient is φ = 24883200.

The previous prime is 108345599. The next prime is 108345623. The reversal of 108345600 is 6543801.

108345600 is a `hidden beast` number, since 10 + 8 + 3 + 45 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5702391 + ... + 5702409.

Almost surely, 2^108345600 is an apocalyptic number.

108345600 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 108345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230011320).

108345600 is an abundant number, since it is smaller than the sum of its proper divisors (351677040).

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

108345600 is a wasteful number, since it uses less digits than its factorization.

108345600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 108345600 is about 10408.9192522567. The cubic root of 108345600 is about 476.7277430554.

The spelling of 108345600 in words is "one hundred eight million, three hundred forty-five thousand, six hundred".