1100056320 has 216 divisors, whose sum is σ = 4152565872. Its totient is φ = 266649600.

The previous prime is 1100056313. The next prime is 1100056343. The reversal of 1100056320 is 236500011.

1100056320 is a `hidden beast` number, since 1 + 100 + 0 + 563 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1100056293 and 1100056302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122380 + ... + 131060.

It is an arithmetic number, because the mean of its divisors is an integer number (19224842).

Almost surely, 2^1100056320 is an apocalyptic number.

1100056320 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 1100056320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2076282936).

1100056320 is an abundant number, since it is smaller than the sum of its proper divisors (3052509552).

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

1100056320 is a wasteful number, since it uses less digits than its factorization.

1100056320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8719 (or 8702 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1100056320 is about 33167.0969486327. The cubic root of 1100056320 is about 1032.2977327363.

Adding to 1100056320 its reverse (236500011), we get a palindrome (1336556331).

The spelling of 1100056320 in words is "one billion, one hundred million, fifty-six thousand, three hundred twenty".