11102288072 has 12 divisors (see below), whose sum is σ = 20817348945. Its totient is φ = 5550995024.

The previous prime is 11102288059. The next prime is 11102288077. The reversal of 11102288072 is 27088220111.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 5781169156 + 5321118916 = 76034^2 + 72946^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=74506.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11102288077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 279398 + ... + 316650.

Almost surely, 2^11102288072 is an apocalyptic number.

It is an amenable number.

11102288072 is a deficient number, since it is larger than the sum of its proper divisors (9715060873).

11102288072 is an frugal number, since it uses more digits than its factorization.

11102288072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74512 (or 37255 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 32.

Multiplying 11102288072 by its sum of digits (32), we get a square (355273218304 = 596048²).

The spelling of 11102288072 in words is "eleven billion, one hundred two million, two hundred eighty-eight thousand, seventy-two".