11005320 has 32 divisors (see below), whose sum is σ = 33016320. Its totient is φ = 2934720.

The previous prime is 11005301. The next prime is 11005321. The reversal of 11005320 is 2350011.

It is a super-2 number, since 2×11005320² = 242234136604800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11005296 and 11005305.

It is not an unprimeable number, because it can be changed into a prime (11005321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45736 + ... + 45975.

It is an arithmetic number, because the mean of its divisors is an integer number (1031760).

Almost surely, 2^11005320 is an apocalyptic number.

11005320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11005320 is an abundant number, since it is smaller than the sum of its proper divisors (22011000).

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

11005320 is a wasteful number, since it uses less digits than its factorization.

11005320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91725 (or 91721 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 11005320 is about 3317.4267135839. The cubic root of 11005320 is about 222.4338565333.

Adding to 11005320 its reverse (2350011), we get a palindrome (13355331).

It can be divided in two parts, 11005 and 320, that added together give a triangular number (11325 = T₁₅₀).

The spelling of 11005320 in words is "eleven million, five thousand, three hundred twenty".