10115768 has 32 divisors (see below), whose sum is σ = 21319200. Its totient is φ = 4464768.

The previous prime is 10115761. The next prime is 10115773. The reversal of 10115768 is 86751101.

10115768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10115768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10115761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 278 + ... + 4506.

It is an arithmetic number, because the mean of its divisors is an integer number (666225).

Almost surely, 2^10115768 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 10115768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10659600).

10115768 is an abundant number, since it is smaller than the sum of its proper divisors (11203432).

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

10115768 is a wasteful number, since it uses less digits than its factorization.

10115768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4271 (or 4267 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 29.

The square root of 10115768 is about 3180.5295156624. The cubic root of 10115768 is about 216.2716632156.

Adding to 10115768 its reverse (86751101), we get a palindrome (96866869).

The spelling of 10115768 in words is "ten million, one hundred fifteen thousand, seven hundred sixty-eight".