1106304960 has 112 divisors (see below), whose sum is σ = 3562209792. Its totient is φ = 290841600.

The previous prime is 1106304919. The next prime is 1106305033. The reversal of 1106304960 is 694036011.

1106304960 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60045 + ... + 76275.

Almost surely, 2^1106304960 is an apocalyptic number.

1106304960 is a gapful number since it is divisible by the number (10) 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 1106304960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1781104896).

1106304960 is an abundant number, since it is smaller than the sum of its proper divisors (2455904832).

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

1106304960 is a wasteful number, since it uses less digits than its factorization.

1106304960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16322 (or 16312 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 1106304960 is about 33261.1629381776. The cubic root of 1106304960 is about 1034.2486273387.

The spelling of 1106304960 in words is "one billion, one hundred six million, three hundred four thousand, nine hundred sixty".