10108725768 has 192 divisors, whose sum is σ = 29940019200. Its totient is φ = 3071502720.

The previous prime is 10108725761. The next prime is 10108725769. The reversal of 10108725768 is 86752780101.

It is a happy number.

10108725768 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 8 + 72 + 576 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (10108725761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3438043 + ... + 3440981.

It is an arithmetic number, because the mean of its divisors is an integer number (155937600).

Almost surely, 2^10108725768 is an apocalyptic number.

10108725768 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 10108725768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14970009600).

10108725768 is an abundant number, since it is smaller than the sum of its proper divisors (19831293432).

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

10108725768 is a wasteful number, since it uses less digits than its factorization.

10108725768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3072 (or 3065 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The spelling of 10108725768 in words is "ten billion, one hundred eight million, seven hundred twenty-five thousand, seven hundred sixty-eight".