11100006600 has 96 divisors (see below), whose sum is σ = 34621429920. Its totient is φ = 2941816320.

The previous prime is 11100006583. The next prime is 11100006601. The reversal of 11100006600 is 660000111.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a zygodrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 11100006600.

It is not an unprimeable number, because it can be changed into a prime (11100006601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41052 + ... + 154548.

It is an arithmetic number, because the mean of its divisors is an integer number (360639895).

Almost surely, 2^11100006600 is an apocalyptic number.

11100006600 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 11100006600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17310714960).

11100006600 is an abundant number, since it is smaller than the sum of its proper divisors (23521423320).

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

11100006600 is a wasteful number, since it uses less digits than its factorization.

11100006600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113679 (or 113670 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 11100006600 its reverse (660000111), we get a palindrome (11760006711).

The spelling of 11100006600 in words is "eleven billion, one hundred million, six thousand, six hundred".