11105300810370 has 256 divisors, whose sum is σ = 29463101015040. Its totient is φ = 2662281216000.

The previous prime is 11105300810339. The next prime is 11105300810371. The reversal of 11105300810370 is 7301800350111.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (11105300810371) 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 127 ways as a sum of consecutive naturals, for example, 1278082986 + ... + 1278091674.

It is an arithmetic number, because the mean of its divisors is an integer number (115090238340).

Almost surely, 2^{11105300810370} is an apocalyptic number.

11105300810370 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11105300810370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14731550507520).

11105300810370 is an abundant number, since it is smaller than the sum of its proper divisors (18357800204670).

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

11105300810370 is a wasteful number, since it uses less digits than its factorization.

11105300810370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9341.

The product of its (nonzero) digits is 2520, while the sum is 30.

The spelling of 11105300810370 in words is "eleven trillion, one hundred five billion, three hundred million, eight hundred ten thousand, three hundred seventy".