11105205132 has 96 divisors (see below), whose sum is σ = 30741580800. Its totient is φ = 3052852992.

The previous prime is 11105205107. The next prime is 11105205191. The reversal of 11105205132 is 23150250111.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 11105205099 and 11105205108.

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, 705969 + ... + 721527.

It is an arithmetic number, because the mean of its divisors is an integer number (320224800).

Almost surely, 2^11105205132 is an apocalyptic number.

11105205132 is a gapful number since it is divisible by the number (12) 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 11105205132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15370790400).

11105205132 is an abundant number, since it is smaller than the sum of its proper divisors (19636375668).

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

11105205132 is a wasteful number, since it uses less digits than its factorization.

11105205132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15895 (or 15893 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 21.

Adding to 11105205132 its reverse (23150250111), we get a palindrome (34255455243).

The spelling of 11105205132 in words is "eleven billion, one hundred five million, two hundred five thousand, one hundred thirty-two".