105011110500606 has 72 divisors (see below), whose sum is σ = 236918234503080. Its totient is φ = 33591113071488.

The previous prime is 105011110500589. The next prime is 105011110500629. The reversal of 105011110500606 is 606005011110501.

105011110500606 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 1 + 1 + 1 + 1 + 0 + 50 + 0 + 606 = 666.

105011110500606 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105011110500606² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105011110500606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11244876 + ... + 18343103.

It is an arithmetic number, because the mean of its divisors is an integer number (3290531034765).

Almost surely, 2^{105011110500606} is an apocalyptic number.

105011110500606 is an abundant number, since it is smaller than the sum of its proper divisors (131907124002474).

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

105011110500606 is a wasteful number, since it uses less digits than its factorization.

105011110500606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29588170 (or 29588094 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

The spelling of 105011110500606 in words is "one hundred five trillion, eleven billion, one hundred ten million, five hundred thousand, six hundred six".