108642688 has 128 divisors (see below), whose sum is σ = 275351040. Its totient is φ = 41472000.

The previous prime is 108642679. The next prime is 108642689. The reversal of 108642688 is 886246801.

It is a tau number, because it is divible by the number of its divisors (128).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108642689) 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, 719413 + ... + 719563.

It is an arithmetic number, because the mean of its divisors is an integer number (2151180).

Almost surely, 2^108642688 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 108642688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137675520).

108642688 is an abundant number, since it is smaller than the sum of its proper divisors (166708352).

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

108642688 is a wasteful number, since it uses less digits than its factorization.

108642688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 43.

The square root of 108642688 is about 10423.1803208042. The cubic root of 108642688 is about 477.1630809518.

The spelling of 108642688 in words is "one hundred eight million, six hundred forty-two thousand, six hundred eighty-eight".