11105232320 has 224 divisors, whose sum is σ = 34462931328. Its totient is φ = 3307732992.

The previous prime is 11105232311. The next prime is 11105232367. The reversal of 11105232320 is 2323250111.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11105232292 and 11105232301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 483824 + ... + 506256.

It is an arithmetic number, because the mean of its divisors is an integer number (153852372).

Almost surely, 2^11105232320 is an apocalyptic number.

11105232320 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 11105232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17231465664).

11105232320 is an abundant number, since it is smaller than the sum of its proper divisors (23357699008).

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

11105232320 is a wasteful number, since it uses less digits than its factorization.

11105232320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22487 (or 22477 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 11105232320 its reverse (2323250111), we get a palindrome (13428482431).

The spelling of 11105232320 in words is "eleven billion, one hundred five million, two hundred thirty-two thousand, three hundred twenty".