11105106564 has 48 divisors (see below), whose sum is σ = 26943146496. Its totient is φ = 3556128000.

The previous prime is 11105106557. The next prime is 11105106569. The reversal of 11105106564 is 46560150111.

11105106564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11105106569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57987 + ... + 159914.

It is an arithmetic number, because the mean of its divisors is an integer number (561315552).

Almost surely, 2^11105106564 is an apocalyptic number.

It is an amenable number.

11105106564 is an abundant number, since it is smaller than the sum of its proper divisors (15838039932).

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

11105106564 is a wasteful number, since it uses less digits than its factorization.

11105106564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218076 (or 218074 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

Adding to 11105106564 its reverse (46560150111), we get a palindrome (57665256675).

The spelling of 11105106564 in words is "eleven billion, one hundred five million, one hundred six thousand, five hundred sixty-four".