108093744 has 240 divisors, whose sum is σ = 362060160. Its totient is φ = 30602880.

The previous prime is 108093731. The next prime is 108093751. The reversal of 108093744 is 447390801.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 108093699 and 108093708.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 2513787 + ... + 2513829.

It is an arithmetic number, because the mean of its divisors is an integer number (1508584).

Almost surely, 2^108093744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108093744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181030080).

108093744 is an abundant number, since it is smaller than the sum of its proper divisors (253966416).

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

108093744 is a wasteful number, since it uses less digits than its factorization.

108093744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 108093744 is about 10396.8141274142. The cubic root of 108093744 is about 476.3580621548.

The spelling of 108093744 in words is "one hundred eight million, ninety-three thousand, seven hundred forty-four".