10906 has 16 divisors (see below), whose sum is σ = 20160. Its totient is φ = 4320.

The previous prime is 10903. The next prime is 10909. The reversal of 10906 is 60901.

10906 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 (10903) and next prime (10909).

It is a nialpdrome in base 5.

It is a self number, because there is not a number n which added to its sum of digits gives 10906.

It is not an unprimeable number, because it can be changed into a prime (10903) 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 7 ways as a sum of consecutive naturals, for example, 246 + ... + 286.

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

2¹⁰⁹⁰⁶ is an apocalyptic number.

10906 is a deficient number, since it is larger than the sum of its proper divisors (9254).

10906 is a wasteful number, since it uses less digits than its factorization.

10906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69.

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 10906 is about 104.4317959244. The cubic root of 10906 is about 22.1762698574.

The spelling of 10906 in words is "ten thousand, nine hundred six".