108291168 has 120 divisors (see below), whose sum is σ = 326569320. Its totient is φ = 35182080.

The previous prime is 108291151. The next prime is 108291187. The reversal of 108291168 is 861192801.

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

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 19 ways as a sum of consecutive naturals, for example, 105763 + ... + 106781.

It is an arithmetic number, because the mean of its divisors is an integer number (2721411).

Almost surely, 2^108291168 is an apocalyptic number.

108291168 is a gapful number since it is divisible by the number (18) 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 108291168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163284660).

108291168 is an abundant number, since it is smaller than the sum of its proper divisors (218278152).

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

108291168 is a wasteful number, since it uses less digits than its factorization.

108291168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The square root of 108291168 is about 10406.3042431019. The cubic root of 108291168 is about 476.6478948927.

The spelling of 108291168 in words is "one hundred eight million, two hundred ninety-one thousand, one hundred sixty-eight".