106006016165 has 12 divisors (see below), whose sum is σ = 147975745356. Its totient is φ = 72689839488.

The previous prime is 106006016113. The next prime is 106006016167. The reversal of 106006016165 is 561610600601.

It can be written as a sum of positive squares in 2 ways, for example, as 14670296641 + 91335719524 = 121121^2 + 302218^2 .

It is not a de Polignac number, because 106006016165 - 2²⁰ = 106004967589 is a prime.

It is a super-2 number, since 2×106006016165² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106006016167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 216338564 + ... + 216339053.

It is an arithmetic number, because the mean of its divisors is an integer number (12331312113).

Almost surely, 2^106006016165 is an apocalyptic number.

It is an amenable number.

106006016165 is a deficient number, since it is larger than the sum of its proper divisors (41969729191).

106006016165 is an equidigital number, since it uses as much as digits as its factorization.

106006016165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432677636 (or 432677629 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

Adding to 106006016165 its reverse (561610600601), we get a palindrome (667616616766).

The spelling of 106006016165 in words is "one hundred six billion, six million, sixteen thousand, one hundred sixty-five".