11105112324300 has 144 divisors (see below), whose sum is σ = 32281146374400. Its totient is φ = 2947537416960.

The previous prime is 11105112324263. The next prime is 11105112324331. The reversal of 11105112324300 is 342321150111.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56187051 + ... + 56384349.

It is an arithmetic number, because the mean of its divisors is an integer number (224174627600).

Almost surely, 2^{11105112324300} is an apocalyptic number.

11105112324300 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 11105112324300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16140573187200).

11105112324300 is an abundant number, since it is smaller than the sum of its proper divisors (21176034050100).

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

11105112324300 is a wasteful number, since it uses less digits than its factorization.

11105112324300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198192 (or 198185 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 11105112324300 its reverse (342321150111), we get a palindrome (11447433474411).

The spelling of 11105112324300 in words is "eleven trillion, one hundred five billion, one hundred twelve million, three hundred twenty-four thousand, three hundred".