11000105600 has 384 divisors, whose sum is σ = 31053369600. Its totient is φ = 3815424000.

The previous prime is 11000105591. The next prime is 11000105609. The reversal of 11000105600 is 650100011.

It is an interprime number because it is at equal distance from previous prime (11000105591) and next prime (11000105609).

It is a super-2 number, since 2×11000105600² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11000105609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100918346 + ... + 100918454.

It is an arithmetic number, because the mean of its divisors is an integer number (80868150).

Almost surely, 2^11000105600 is an apocalyptic number.

11000105600 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 11000105600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15526684800).

11000105600 is an abundant number, since it is smaller than the sum of its proper divisors (20053264000).

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

11000105600 is a wasteful number, since it uses less digits than its factorization.

11000105600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 14.

Adding to 11000105600 its reverse (650100011), we get a palindrome (11650205611).

The spelling of 11000105600 in words is "eleven billion, one hundred five thousand, six hundred".