108993024 has 240 divisors, whose sum is σ = 374499840. Its totient is φ = 29859840.

The previous prime is 108993013. The next prime is 108993029. The reversal of 108993024 is 420399801.

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

It is a self number, because there is not a number n which added to its sum of digits gives 108993024.

It is not an unprimeable number, because it can be changed into a prime (108993029) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 999882 + ... + 999990.

It is an arithmetic number, because the mean of its divisors is an integer number (1560416).

Almost surely, 2^108993024 is an apocalyptic number.

108993024 is a gapful number since it is divisible by the number (14) 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 108993024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187249920).

108993024 is an abundant number, since it is smaller than the sum of its proper divisors (265506816).

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

108993024 is a wasteful number, since it uses less digits than its factorization.

108993024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 108993024 is about 10439.9724137567. The cubic root of 108993024 is about 477.6754272596.

The spelling of 108993024 in words is "one hundred eight million, nine hundred ninety-three thousand, twenty-four".