10912 has 24 divisors (see below), whose sum is σ = 24192. Its totient is φ = 4800.

The previous prime is 10909. The next prime is 10937. The reversal of 10912 is 21901.

It is a plaindrome in base 15.

It is a nialpdrome in base 4 and base 11.

It is a zygodrome in base 4 and base 15.

It is a junction number, because it is equal to n+sod(n) for n = 10892 and 10901.

It is an unprimeable number.

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, 337 + ... + 367.

It is an arithmetic number, because the mean of its divisors is an integer number (1008).

2¹⁰⁹¹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12096).

10912 is an abundant number, since it is smaller than the sum of its proper divisors (13280).

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

10912 is a wasteful number, since it uses less digits than its factorization.

10912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 10912 is about 104.4605188576. The cubic root of 10912 is about 22.1803359136.

It can be divided in two parts, 109 and 12, that added together give a palindrome (121).

The spelling of 10912 in words is "ten thousand, nine hundred twelve".