108042688 has 112 divisors (see below), whose sum is σ = 245790720. Its totient is φ = 46771200.

The previous prime is 108042679. The next prime is 108042689. The reversal of 108042688 is 886240801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108042689) 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, 1521693 + ... + 1521763.

It is an arithmetic number, because the mean of its divisors is an integer number (2194560).

Almost surely, 2^108042688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108042688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122895360).

108042688 is an abundant number, since it is smaller than the sum of its proper divisors (137748032).

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

108042688 is a wasteful number, since it uses less digits than its factorization.

108042688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 37.

The square root of 108042688 is about 10394.3584698624. The cubic root of 108042688 is about 476.2830508220.

It can be divided in two parts, 10804268 and 8, that added together give a triangular number (10804276 = T₄₆₄₈).

The spelling of 108042688 in words is "one hundred eight million, forty-two thousand, six hundred eighty-eight".