11106564072 has 32 divisors (see below), whose sum is σ = 28723874400. Its totient is φ = 3574526144.

The previous prime is 11106564061. The next prime is 11106564113. The reversal of 11106564072 is 27046560111.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7978158 + ... + 7979549.

It is an arithmetic number, because the mean of its divisors is an integer number (897621075).

Almost surely, 2^11106564072 is an apocalyptic number.

11106564072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11106564072 is an abundant number, since it is smaller than the sum of its proper divisors (17617310328).

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

11106564072 is a wasteful number, since it uses less digits than its factorization.

11106564072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15957745 (or 15957741 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The spelling of 11106564072 in words is "eleven billion, one hundred six million, five hundred sixty-four thousand, seventy-two".