10168 has 16 divisors (see below), whose sum is σ = 20160. Its totient is φ = 4800.

The previous prime is 10163. The next prime is 10169. The reversal of 10168 is 86101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10163) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 228 + ... + 268.

It is an arithmetic number, because the mean of its divisors is an integer number (1260).

It is an amenable number.

10168 is a deficient number, since it is larger than the sum of its proper divisors (9992).

10168 is a wasteful number, since it uses less digits than its factorization.

10168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 10168 is about 100.8365013276. The cubic root of 10168 is about 21.6643258484.

Adding to 10168 its reverse (86101), we get a palindrome (96269).

It can be divided in two parts, 1016 and 8, that multiplied together give a triangular number (8128 = T₁₂₇).

The spelling of 10168 in words is "ten thousand, one hundred sixty-eight".