106166566661561 has 16 divisors (see below), whose sum is σ = 127719583474560. Its totient is φ = 86210171372160.

The previous prime is 106166566661557. The next prime is 106166566661569. The reversal of 106166566661561 is 165166665661601.

It is not a de Polignac number, because 106166566661561 - 2² = 106166566661557 is a prime.

It is a super-2 number, since 2×106166566661561² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106166566661494 and 106166566661503.

It is not an unprimeable number, because it can be changed into a prime (106166566661569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47930255 + ... + 50096331.

It is an arithmetic number, because the mean of its divisors is an integer number (7982473967160).

Almost surely, 2^{106166566661561} is an apocalyptic number.

It is an amenable number.

106166566661561 is a deficient number, since it is larger than the sum of its proper divisors (21553016812999).

106166566661561 is a wasteful number, since it uses less digits than its factorization.

106166566661561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2534624.

The product of its (nonzero) digits is 41990400, while the sum is 62.

The spelling of 106166566661561 in words is "one hundred six trillion, one hundred sixty-six billion, five hundred sixty-six million, six hundred sixty-one thousand, five hundred sixty-one".