106665010065 has 24 divisors (see below), whose sum is σ = 184910687208. Its totient is φ = 56880414720.

The previous prime is 106665010061. The next prime is 106665010091. The reversal of 106665010065 is 560010566601.

It can be written as a sum of positive squares in 4 ways, for example, as 48922361856 + 57742648209 = 221184^2 + 240297^2 .

It is not a de Polignac number, because 106665010065 - 2² = 106665010061 is a prime.

It is a super-2 number, since 2×106665010065² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (106665010061) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 191347 + ... + 499943.

It is an arithmetic number, because the mean of its divisors is an integer number (7704611967).

Almost surely, 2^106665010065 is an apocalyptic number.

106665010065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106665010065 is a deficient number, since it is larger than the sum of its proper divisors (78245677143).

106665010065 is a wasteful number, since it uses less digits than its factorization.

106665010065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316289 (or 316286 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

Adding to 106665010065 its reverse (560010566601), we get a palindrome (666675576666).

The spelling of 106665010065 in words is "one hundred six billion, six hundred sixty-five million, ten thousand, sixty-five".