106565065661661 has 16 divisors (see below), whose sum is σ = 147001210516800. Its totient is φ = 68586646059008.

The previous prime is 106565065661651. The next prime is 106565065661737. The reversal of 106565065661661 is 166166560565601.

It is a cyclic number.

It is not a de Polignac number, because 106565065661661 - 2⁵ = 106565065661629 is a prime.

It is a super-2 number, since 2×106565065661661² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106565065661595 and 106565065661604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106565065661651) 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, 61275231 + ... + 62990348.

It is an arithmetic number, because the mean of its divisors is an integer number (9187575657300).

Almost surely, 2^{106565065661661} is an apocalyptic number.

It is an amenable number.

106565065661661 is a deficient number, since it is larger than the sum of its proper divisors (40436144855139).

106565065661661 is a wasteful number, since it uses less digits than its factorization.

106565065661661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124275468.

The product of its (nonzero) digits is 34992000, while the sum is 60.

The spelling of 106565065661661 in words is "one hundred six trillion, five hundred sixty-five billion, sixty-five million, six hundred sixty-one thousand, six hundred sixty-one".