1106882016 has 48 divisors (see below), whose sum is σ = 2910179664. Its totient is φ = 368374784.

The previous prime is 1106881957. The next prime is 1106882033. The reversal of 1106882016 is 6102886011.

1106882016 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53860 + ... + 71516.

It is an arithmetic number, because the mean of its divisors is an integer number (60628743).

Almost surely, 2^1106882016 is an apocalyptic number.

1106882016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1106882016 is an abundant number, since it is smaller than the sum of its proper divisors (1803297648).

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

1106882016 is a wasteful number, since it uses less digits than its factorization.

1106882016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18323 (or 18315 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 1106882016 is about 33269.8364288134. The cubic root of 1106882016 is about 1034.4284197284.

The spelling of 1106882016 in words is "one billion, one hundred six million, eight hundred eighty-two thousand, sixteen".