10882116 has 108 divisors (see below), whose sum is σ = 33196800. Its totient is φ = 2993760.

The previous prime is 10882111. The next prime is 10882121. The reversal of 10882116 is 61128801.

It is an interprime number because it is at equal distance from previous prime (10882111) and next prime (10882121).

It is a self number, because there is not a number n which added to its sum of digits gives 10882116.

It is not an unprimeable number, because it can be changed into a prime (10882111) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 54585 + ... + 54783.

Almost surely, 2^10882116 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 10882116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16598400).

10882116 is an abundant number, since it is smaller than the sum of its proper divisors (22314684).

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

10882116 is a wasteful number, since it uses less digits than its factorization.

10882116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 10882116 is about 3298.8052382643. The cubic root of 10882116 is about 221.6006944332.

The spelling of 10882116 in words is "ten million, eight hundred eighty-two thousand, one hundred sixteen".