10105601010606 has 48 divisors (see below), whose sum is σ = 22697399550384. Its totient is φ = 3246861428352.

The previous prime is 10105601010587. The next prime is 10105601010647. The reversal of 10105601010606 is 60601010650101.

10105601010606 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 56 + 0 + 1 + 0 + 1 + 0 + 606 = 666.

It is a super-2 number, since 2×10105601010606² (a number of 27 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 10105601010606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70833295 + ... + 70975818.

It is an arithmetic number, because the mean of its divisors is an integer number (472862490633).

Almost surely, 2^{10105601010606} is an apocalyptic number.

10105601010606 is an abundant number, since it is smaller than the sum of its proper divisors (12591798539778).

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

10105601010606 is a wasteful number, since it uses less digits than its factorization.

10105601010606 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141809265 (or 141809262 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

Adding to 10105601010606 its reverse (60601010650101), we get a palindrome (70706611660707).

The spelling of 10105601010606 in words is "ten trillion, one hundred five billion, six hundred one million, ten thousand, six hundred six".