105606551110606 has 96 divisors (see below), whose sum is σ = 204587066027520. Its totient is φ = 39956780552832.

The previous prime is 105606551110601. The next prime is 105606551110667. The reversal of 105606551110606 is 606011155606501.

It is a super-2 number, since 2×105606551110606² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105606551110601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 433208680 + ... + 433452388.

It is an arithmetic number, because the mean of its divisors is an integer number (2131115271120).

Almost surely, 2^{105606551110606} is an apocalyptic number.

105606551110606 is a deficient number, since it is larger than the sum of its proper divisors (98980514916914).

105606551110606 is a wasteful number, since it uses less digits than its factorization.

105606551110606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251730 (or 251717 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 43.

The spelling of 105606551110606 in words is "one hundred five trillion, six hundred six billion, five hundred fifty-one million, one hundred ten thousand, six hundred six".