1106945280 has 648 divisors, whose sum is σ = 4661951112. Its totient is φ = 241532928.

The previous prime is 1106945251. The next prime is 1106945291. The reversal of 1106945280 is 825496011.

It can be written as a sum of positive squares in 4 ways, for example, as 420086016 + 686859264 = 20496^2 + 26208^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20885734 + ... + 20885786.

It is an arithmetic number, because the mean of its divisors is an integer number (7194369).

Almost surely, 2^1106945280 is an apocalyptic number.

1106945280 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 1106945280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2330975556).

1106945280 is an abundant number, since it is smaller than the sum of its proper divisors (3555005832).

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

1106945280 is a wasteful number, since it uses less digits than its factorization.

1106945280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 1106945280 is about 33270.7871863591. The cubic root of 1106945280 is about 1034.4481269878.

The spelling of 1106945280 in words is "one billion, one hundred six million, nine hundred forty-five thousand, two hundred eighty".