106006165085 has 16 divisors (see below), whose sum is σ = 129310888752. Its totient is φ = 83402995200.

The previous prime is 106006165043. The next prime is 106006165129. The reversal of 106006165085 is 580561600601.

It can be written as a sum of positive squares in 8 ways, for example, as 279090436 + 105727074649 = 16706^2 + 325157^2 .

It is not a de Polignac number, because 106006165085 - 2⁸ = 106006164829 is a prime.

It is a super-2 number, since 2×106006165085² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2627687 + ... + 2667723.

It is an arithmetic number, because the mean of its divisors is an integer number (8081930547).

Almost surely, 2^106006165085 is an apocalyptic number.

It is an amenable number.

106006165085 is a deficient number, since it is larger than the sum of its proper divisors (23304723667).

106006165085 is an equidigital number, since it uses as much as digits as its factorization.

106006165085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48784.

The product of its (nonzero) digits is 43200, while the sum is 38.

Adding to 106006165085 its reverse (580561600601), we get a palindrome (686567765686).

The spelling of 106006165085 in words is "one hundred six billion, six million, one hundred sixty-five thousand, eighty-five".