11000105556 has 96 divisors (see below), whose sum is σ = 29510853120. Its totient is φ = 3153974400.

The previous prime is 11000105497. The next prime is 11000105579. The reversal of 11000105556 is 65550100011.

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, 2433010 + ... + 2437526.

It is an arithmetic number, because the mean of its divisors is an integer number (307404720).

Almost surely, 2^11000105556 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 11000105556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14755426560).

11000105556 is an abundant number, since it is smaller than the sum of its proper divisors (18510747564).

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

11000105556 is a wasteful number, since it uses less digits than its factorization.

11000105556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5525 (or 5523 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 24.

Adding to 11000105556 its reverse (65550100011), we get a palindrome (76550205567).

The spelling of 11000105556 in words is "eleven billion, one hundred five thousand, five hundred fifty-six".