11105555100606 has 112 divisors (see below), whose sum is σ = 25352089059024. Its totient is φ = 3646385309952.

The previous prime is 11105555100559. The next prime is 11105555100611. The reversal of 11105555100606 is 60600155550111.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 40645560 + ... + 40917876.

It is an arithmetic number, because the mean of its divisors is an integer number (226357938027).

Almost surely, 2^{11105555100606} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11105555100606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12676044529512).

11105555100606 is an abundant number, since it is smaller than the sum of its proper divisors (14246533958418).

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

11105555100606 is an equidigital number, since it uses as much as digits as its factorization.

11105555100606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272757 (or 272742 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 36.

The spelling of 11105555100606 in words is "eleven trillion, one hundred five billion, five hundred fifty-five million, one hundred thousand, six hundred six".