106561020165601 has 16 divisors (see below), whose sum is σ = 111818152166400. Its totient is φ = 101355920861008.

The previous prime is 106561020165553. The next prime is 106561020165629.

106561020165601 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 106561020165601 - 2²⁵ = 106560986611169 is a prime.

It is a super-2 number, since 2×106561020165601² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106561020165661) 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, 172304790 + ... + 172922128.

It is an arithmetic number, because the mean of its divisors is an integer number (6988634510400).

Almost surely, 2^{106561020165601} is an apocalyptic number.

It is an amenable number.

106561020165601 is a deficient number, since it is larger than the sum of its proper divisors (5257132000799).

106561020165601 is a wasteful number, since it uses less digits than its factorization.

106561020165601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659468.

The product of its (nonzero) digits is 64800, while the sum is 40.

The spelling of 106561020165601 in words is "one hundred six trillion, five hundred sixty-one billion, twenty million, one hundred sixty-five thousand, six hundred one".