110882816 has 104 divisors (see below), whose sum is σ = 254772864. Its totient is φ = 47759360.

The previous prime is 110882813. The next prime is 110882843. The reversal of 110882816 is 618288011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110882813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1036235 + ... + 1036341.

Almost surely, 2^110882816 is an apocalyptic number.

110882816 is a gapful number since it is divisible by the number (16) 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 110882816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127386432).

110882816 is an abundant number, since it is smaller than the sum of its proper divisors (143890048).

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

110882816 is a wasteful number, since it uses less digits than its factorization.

110882816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 35.

The square root of 110882816 is about 10530.0909777646. The cubic root of 110882816 is about 480.4203724811.

The spelling of 110882816 in words is "one hundred ten million, eight hundred eighty-two thousand, eight hundred sixteen".