1106807328 has 180 divisors, whose sum is σ = 3578922270. Its totient is φ = 335301120.

The previous prime is 1106807309. The next prime is 1106807347. The reversal of 1106807328 is 8237086011.

It is an interprime number because it is at equal distance from previous prime (1106807309) and next prime (1106807347).

It can be written as a sum of positive squares in only one way, i.e., 1080305424 + 26501904 = 32868^2 + 5148^2 .

It is a super-2 number, since 2×1106807328² = 2450044922628999168, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1106807292 and 1106807301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 311868 + ... + 315396.

Almost surely, 2^1106807328 is an apocalyptic number.

1106807328 is a gapful number since it is divisible by the number (18) 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 1106807328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1789461135).

1106807328 is an abundant number, since it is smaller than the sum of its proper divisors (2472114942).

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

1106807328 is a wasteful number, since it uses less digits than its factorization.

1106807328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3573 (or 3545 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1106807328 is about 33268.7139516994. The cubic root of 1106807328 is about 1034.4051528320.

The spelling of 1106807328 in words is "one billion, one hundred six million, eight hundred seven thousand, three hundred twenty-eight".