1106225328 has 240 divisors, whose sum is σ = 3293789184. Its totient is φ = 319288320.

The previous prime is 1106225327. The next prime is 1106225339. The reversal of 1106225328 is 8235226011.

It is a junction number, because it is equal to n+sod(n) for n = 1106225295 and 1106225304.

It is not an unprimeable number, because it can be changed into a prime (1106225321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13327975 + ... + 13328057.

Almost surely, 2^1106225328 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 1106225328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1646894592).

1106225328 is an abundant number, since it is smaller than the sum of its proper divisors (2187563856).

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

1106225328 is a wasteful number, since it uses less digits than its factorization.

1106225328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 1106225328 is about 33259.9658448412. The cubic root of 1106225328 is about 1034.2238116185.

The spelling of 1106225328 in words is "one billion, one hundred six million, two hundred twenty-five thousand, three hundred twenty-eight".