10605600105606 has 24 divisors (see below), whose sum is σ = 25067782068264. Its totient is φ = 3213818213760.

The previous prime is 10605600105509. The next prime is 10605600105613. The reversal of 10605600105606 is 60650100650601.

It is a super-2 number, since 2×10605600105606² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26781818251 + ... + 26781818646.

It is an arithmetic number, because the mean of its divisors is an integer number (1044490919511).

Almost surely, 2^{10605600105606} is an apocalyptic number.

10605600105606 is an abundant number, since it is smaller than the sum of its proper divisors (14462181962658).

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

10605600105606 is a wasteful number, since it uses less digits than its factorization.

10605600105606 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53563636916 (or 53563636913 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 10605600105606 in words is "ten trillion, six hundred five billion, six hundred million, one hundred five thousand, six hundred six".