10268 has 12 divisors (see below), whose sum is σ = 19152. Its totient is φ = 4800.

The previous prime is 10267. The next prime is 10271. The reversal of 10268 is 86201.

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8 + ... + 143.

It is an arithmetic number, because the mean of its divisors is an integer number (1596).

2¹⁰²⁶⁸ is an apocalyptic number.

It is an amenable number.

10268 is a deficient number, since it is larger than the sum of its proper divisors (8884).

10268 is a wasteful number, since it uses less digits than its factorization.

10268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 10268 is about 101.3311403271. The cubic root of 10268 is about 21.7351155484.

Adding to 10268 its reverse (86201), we get a palindrome (96469).

The spelling of 10268 in words is "ten thousand, two hundred sixty-eight".