11105560120 has 192 divisors, whose sum is σ = 27510658560. Its totient is φ = 4024796160.

The previous prime is 11105560117. The next prime is 11105560127. The reversal of 11105560120 is 2106550111.

It is a happy number.

11105560120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11105560091 and 11105560100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11105560127) 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 47 ways as a sum of consecutive naturals, for example, 66500277 + ... + 66500443.

It is an arithmetic number, because the mean of its divisors is an integer number (143284680).

Almost surely, 2^11105560120 is an apocalyptic number.

11105560120 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 11105560120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13755329280).

11105560120 is an abundant number, since it is smaller than the sum of its proper divisors (16405098440).

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

11105560120 is a wasteful number, since it uses less digits than its factorization.

11105560120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 22.

The spelling of 11105560120 in words is "eleven billion, one hundred five million, five hundred sixty thousand, one hundred twenty".