11105034032 has 160 divisors (see below), whose sum is σ = 24341834880. Its totient is φ = 4882841600.

The previous prime is 11105034019. The next prime is 11105034037. The reversal of 11105034032 is 23043050111.

It is a junction number, because it is equal to n+sod(n) for n = 11105033995 and 11105034013.

It is not an unprimeable number, because it can be changed into a prime (11105034037) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42224333 + ... + 42224595.

It is an arithmetic number, because the mean of its divisors is an integer number (152136468).

Almost surely, 2^11105034032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11105034032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12170917440).

11105034032 is an abundant number, since it is smaller than the sum of its proper divisors (13236800848).

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

11105034032 is a wasteful number, since it uses less digits than its factorization.

11105034032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 465 counting only the distinct ones).

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

Adding to 11105034032 its reverse (23043050111), we get a palindrome (34148084143).

The spelling of 11105034032 in words is "eleven billion, one hundred five million, thirty-four thousand, thirty-two".