106605515566561 has 8 divisors (see below), whose sum is σ = 118771328755584. Its totient is φ = 94852102824720.

The previous prime is 106605515566523. The next prime is 106605515566601. The reversal of 106605515566561 is 165665515506601.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106605515566561 - 2¹⁵ = 106605515533793 is a prime.

It is a super-2 number, since 2×106605515566561² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106605515566496 and 106605515566505.

It is not an unprimeable number, because it can be changed into a prime (106605513566561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103100111250 + ... + 103100112283.

It is an arithmetic number, because the mean of its divisors is an integer number (14846416094448).

Almost surely, 2^{106605515566561} is an apocalyptic number.

106605515566561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106605515566561 is a deficient number, since it is larger than the sum of its proper divisors (12165813189023).

106605515566561 is a wasteful number, since it uses less digits than its factorization.

106605515566561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206200223591.

The product of its (nonzero) digits is 24300000, while the sum is 58.

The spelling of 106605515566561 in words is "one hundred six trillion, six hundred five billion, five hundred fifteen million, five hundred sixty-six thousand, five hundred sixty-one".