10826112 has 96 divisors (see below), whose sum is σ = 31744440. Its totient is φ = 3266560.

The previous prime is 10826111. The next prime is 10826113. The reversal of 10826112 is 21162801.

It is an interprime number because it is at equal distance from previous prime (10826111) and next prime (10826113).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10826111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46348 + ... + 46580.

Almost surely, 2^10826112 is an apocalyptic number.

10826112 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 10826112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15872220).

10826112 is an abundant number, since it is smaller than the sum of its proper divisors (20918328).

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

10826112 is a wasteful number, since it uses less digits than its factorization.

10826112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 10826112 is about 3290.3057608678. The cubic root of 10826112 is about 221.2198899304.

Adding to 10826112 its reverse (21162801), we get a palindrome (31988913).

The spelling of 10826112 in words is "ten million, eight hundred twenty-six thousand, one hundred twelve".