10068 has 12 divisors (see below), whose sum is σ = 23520. Its totient is φ = 3352.

The previous prime is 10067. The next prime is 10069. The reversal of 10068 is 86001.

10068 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10067) and next prime (10069).

It is a tau number, because it is divible by the number of its divisors (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 408 + ... + 431.

It is an arithmetic number, because the mean of its divisors is an integer number (1960).

2¹⁰⁰⁶⁸ is an apocalyptic number.

It is an amenable number.

10068 is an abundant number, since it is smaller than the sum of its proper divisors (13452).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11760).

10068 is a wasteful number, since it uses less digits than its factorization.

10068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 10068 is about 100.3394239569. The cubic root of 10068 is about 21.5930704795.

Adding to 10068 its reverse (86001), we get a palindrome (96069).

The spelling of 10068 in words is "ten thousand, sixty-eight".