11105134040 has 256 divisors, whose sum is σ = 33688811520. Its totient is φ = 3181731840.

The previous prime is 11105133973. The next prime is 11105134063. The reversal of 11105134040 is 4043150111.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13493069 + ... + 13493891.

It is an arithmetic number, because the mean of its divisors is an integer number (131596920).

Almost surely, 2^11105134040 is an apocalyptic number.

11105134040 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 11105134040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16844405760).

11105134040 is an abundant number, since it is smaller than the sum of its proper divisors (22583677480).

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

11105134040 is a wasteful number, since it uses less digits than its factorization.

11105134040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 11105134040 its reverse (4043150111), we get a palindrome (15148284151).

The spelling of 11105134040 in words is "eleven billion, one hundred five million, one hundred thirty-four thousand, forty".