10882112 has 28 divisors (see below), whose sum is σ = 21730716. Its totient is φ = 5406720.

The previous prime is 10882111. The next prime is 10882121. The reversal of 10882112 is 21128801.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2262016 + 8620096 = 1504^2 + 2936^2 .

10882112 is a modest number, since divided by 2112 gives 1088 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10882111) 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, 11912 + ... + 12792.

It is an arithmetic number, because the mean of its divisors is an integer number (776097).

Almost surely, 2^10882112 is an apocalyptic number.

It is an amenable number.

10882112 is a deficient number, since it is larger than the sum of its proper divisors (10848604).

10882112 is an equidigital number, since it uses as much as digits as its factorization.

10882112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 23.

The square root of 10882112 is about 3298.8046319841. The cubic root of 10882112 is about 221.6006672815.

The spelling of 10882112 in words is "ten million, eight hundred eighty-two thousand, one hundred twelve".