10205768 has 16 divisors (see below), whose sum is σ = 19543680. Its totient is φ = 4994128.

The previous prime is 10205731. The next prime is 10205791. The reversal of 10205768 is 86750201.

10205768 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 10205768.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13196 + ... + 13947.

It is an arithmetic number, because the mean of its divisors is an integer number (1221480).

Almost surely, 2^10205768 is an apocalyptic number.

It is an amenable number.

10205768 is a deficient number, since it is larger than the sum of its proper divisors (9337912).

10205768 is a wasteful number, since it uses less digits than its factorization.

10205768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27196 (or 27192 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 29.

The square root of 10205768 is about 3194.6467723365. The cubic root of 10205768 is about 216.9111601625.

Adding to 10205768 its reverse (86750201), we get a palindrome (96955969).

The spelling of 10205768 in words is "ten million, two hundred five thousand, seven hundred sixty-eight".