108393600 has 192 divisors, whose sum is σ = 408277440. Its totient is φ = 24760320.

The previous prime is 108393587. The next prime is 108393631. The reversal of 108393600 is 6393801.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66394 + ... + 68006.

It is an arithmetic number, because the mean of its divisors is an integer number (2126445).

Almost surely, 2^108393600 is an apocalyptic number.

108393600 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 108393600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204138720).

108393600 is an abundant number, since it is smaller than the sum of its proper divisors (299883840).

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

108393600 is a wasteful number, since it uses less digits than its factorization.

108393600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1647 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 108393600 is about 10411.2247118195. The cubic root of 108393600 is about 476.7981337104.

The spelling of 108393600 in words is "one hundred eight million, three hundred ninety-three thousand, six hundred".