1106978304 has 160 divisors (see below), whose sum is σ = 3148548480. Its totient is φ = 344604672.

The previous prime is 1106978297. The next prime is 1106978329. The reversal of 1106978304 is 4038796011.

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, 2422044 + ... + 2422500.

It is an arithmetic number, because the mean of its divisors is an integer number (19678428).

Almost surely, 2^1106978304 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 1106978304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574274240).

1106978304 is an abundant number, since it is smaller than the sum of its proper divisors (2041570176).

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

1106978304 is an equidigital number, since it uses as much as digits as its factorization.

1106978304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 1106978304 is about 33271.2834738908. The cubic root of 1106978304 is about 1034.4584139387.

The spelling of 1106978304 in words is "one billion, one hundred six million, nine hundred seventy-eight thousand, three hundred four".