11105225200 has 120 divisors (see below), whose sum is σ = 27856699200. Its totient is φ = 4249082880.

The previous prime is 11105225167. The next prime is 11105225221. The reversal of 11105225200 is 252250111.

11105225200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1260009 + ... + 1268791.

It is an arithmetic number, because the mean of its divisors is an integer number (232139160).

Almost surely, 2^11105225200 is an apocalyptic number.

11105225200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11105225200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13928349600).

11105225200 is an abundant number, since it is smaller than the sum of its proper divisors (16751474000).

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

11105225200 is a wasteful number, since it uses less digits than its factorization.

11105225200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8939 (or 8928 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 19.

Adding to 11105225200 its reverse (252250111), we get a palindrome (11357475311).

The spelling of 11105225200 in words is "eleven billion, one hundred five million, two hundred twenty-five thousand, two hundred".