108768768 has 80 divisors (see below), whose sum is σ = 305099520. Its totient is φ = 34338816.

The previous prime is 108768731. The next prime is 108768797. The reversal of 108768768 is 867867801.

It is a self number, because there is not a number n which added to its sum of digits gives 108768768.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27321 + ... + 31047.

It is an arithmetic number, because the mean of its divisors is an integer number (3813744).

Almost surely, 2^108768768 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 108768768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152549760).

108768768 is an abundant number, since it is smaller than the sum of its proper divisors (196330752).

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

108768768 is an equidigital number, since it uses as much as digits as its factorization.

108768768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3767 (or 3751 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 51.

The square root of 108768768 is about 10429.2266252105. The cubic root of 108768768 is about 477.3475924152.

The spelling of 108768768 in words is "one hundred eight million, seven hundred sixty-eight thousand, seven hundred sixty-eight".