108793152 has 224 divisors, whose sum is σ = 358444800. Its totient is φ = 32126976.

The previous prime is 108793147. The next prime is 108793159. The reversal of 108793152 is 251397801.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108793159) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 651373 + ... + 651539.

It is an arithmetic number, because the mean of its divisors is an integer number (1600200).

Almost surely, 2^108793152 is an apocalyptic number.

108793152 is a gapful number since it is divisible by the number (12) 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 108793152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179222400).

108793152 is an abundant number, since it is smaller than the sum of its proper divisors (249651648).

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

108793152 is a wasteful number, since it uses less digits than its factorization.

108793152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 108793152 is about 10430.3955821436. The cubic root of 108793152 is about 477.3832606626.

The spelling of 108793152 in words is "one hundred eight million, seven hundred ninety-three thousand, one hundred fifty-two".