11005164 has 36 divisors (see below), whose sum is σ = 28088424. Its totient is φ = 3632832.

The previous prime is 11005157. The next prime is 11005177. The reversal of 11005164 is 46150011.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×11005164² = 242227269333792, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2424 + ... + 5280.

It is an arithmetic number, because the mean of its divisors is an integer number (780234).

Almost surely, 2^11005164 is an apocalyptic number.

It is an amenable number.

11005164 is an abundant number, since it is smaller than the sum of its proper divisors (17083260).

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

11005164 is a wasteful number, since it uses less digits than its factorization.

11005164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2974 (or 2969 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 11005164 is about 3317.4032013007. The cubic root of 11005164 is about 222.4328055311.

Adding to 11005164 its reverse (46150011), we get a palindrome (57155175).

The spelling of 11005164 in words is "eleven million, five thousand, one hundred sixty-four".