10812 has 24 divisors (see below), whose sum is σ = 27216. Its totient is φ = 3328.

The previous prime is 10799. The next prime is 10831. The reversal of 10812 is 21801.

It is a happy number.

10812 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

10812 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 178 + ... + 230.

It is an arithmetic number, because the mean of its divisors is an integer number (1134).

2¹⁰⁸¹² is an apocalyptic number.

10812 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13608).

10812 is an abundant number, since it is smaller than the sum of its proper divisors (16404).

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

10812 is a wasteful number, since it uses less digits than its factorization.

10812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 10812 is about 103.9807674524. The cubic root of 10812 is about 22.1123726983.

It can be divided in two parts, 108 and 12, that multiplied together give a 4-th power (1296 = 6⁴).

The spelling of 10812 in words is "ten thousand, eight hundred twelve".