108948168 has 72 divisors (see below), whose sum is σ = 343253430. Its totient is φ = 31127040.

The previous prime is 108948139. The next prime is 108948181. The reversal of 108948168 is 861849801.

108948168 is a `hidden beast` number, since 108 + 9 + 481 + 68 = 666.

It can be written as a sum of positive squares in only one way, i.e., 64352484 + 44595684 = 8022^2 + 6678^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11913 + ... + 18968.

Almost surely, 2^108948168 is an apocalyptic number.

108948168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

108948168 is an abundant number, since it is smaller than the sum of its proper divisors (234305262).

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

108948168 is a wasteful number, since it uses less digits than its factorization.

108948168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30907 (or 30893 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The square root of 108948168 is about 10437.8239111416. The cubic root of 108948168 is about 477.6098892761.

The spelling of 108948168 in words is "one hundred eight million, nine hundred forty-eight thousand, one hundred sixty-eight".