11105216100 has 288 divisors, whose sum is σ = 39197491200. Its totient is φ = 2674857600.

The previous prime is 11105216069. The next prime is 11105216117. The reversal of 11105216100 is 161250111.

It is a happy number.

11105216100 is a `hidden beast` number, since 1 + 1 + 1 + 0 + 52 + 1 + 610 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4958781 + ... + 4961019.

It is an arithmetic number, because the mean of its divisors is an integer number (136102400).

Almost surely, 2^11105216100 is an apocalyptic number.

11105216100 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 11105216100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19598745600).

11105216100 is an abundant number, since it is smaller than the sum of its proper divisors (28092275100).

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

11105216100 is a wasteful number, since it uses less digits than its factorization.

11105216100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2440 (or 2427 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 18.

Adding to 11105216100 its reverse (161250111), we get a palindrome (11266466211).

The spelling of 11105216100 in words is "eleven billion, one hundred five million, two hundred sixteen thousand, one hundred".