108468288 has 112 divisors (see below), whose sum is σ = 326867520. Its totient is φ = 35251200.

The previous prime is 108468277. The next prime is 108468289. The reversal of 108468288 is 882864801.

It is a happy number.

108468288 is a `hidden beast` number, since 108 + 468 + 2 + 88 = 666.

It is not an unprimeable number, because it can be changed into a prime (108468289) 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 15 ways as a sum of consecutive naturals, for example, 70083 + ... + 71613.

It is an arithmetic number, because the mean of its divisors is an integer number (2918460).

Almost surely, 2^108468288 is an apocalyptic number.

108468288 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 108468288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163433760).

108468288 is an abundant number, since it is smaller than the sum of its proper divisors (218399232).

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

108468288 is a wasteful number, since it uses less digits than its factorization.

108468288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1593 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The square root of 108468288 is about 10414.8109920440. The cubic root of 108468288 is about 476.9076202574.

The spelling of 108468288 in words is "one hundred eight million, four hundred sixty-eight thousand, two hundred eighty-eight".