106605565550561 has 16 divisors (see below), whose sum is σ = 132911347488768. Its totient is φ = 83068951534800.

The previous prime is 106605565550527. The next prime is 106605565550563. The reversal of 106605565550561 is 165055565506601.

It is not a de Polignac number, because 106605565550561 - 2²² = 106605561356257 is a prime.

It is a super-2 number, since 2×106605565550561² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 106605565550497 and 106605565550506.

It is not an unprimeable number, because it can be changed into a prime (106605565550563) 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, 18513176 + ... + 23578566.

It is an arithmetic number, because the mean of its divisors is an integer number (8306959218048).

Almost surely, 2^{106605565550561} is an apocalyptic number.

106605565550561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106605565550561 is a deficient number, since it is larger than the sum of its proper divisors (26305781938207).

106605565550561 is a wasteful number, since it uses less digits than its factorization.

106605565550561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5338732.

The product of its (nonzero) digits is 20250000, while the sum is 56.

The spelling of 106605565550561 in words is "one hundred six trillion, six hundred five billion, five hundred sixty-five million, five hundred fifty thousand, five hundred sixty-one".