106314172317 has 6 divisors (see below), whose sum is σ = 153564915582. Its totient is φ = 70876114872.

The previous prime is 106314172301. The next prime is 106314172319. The reversal of 106314172317 is 713271413601.

It is a happy number.

106314172317 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 1 + 417 + 231 + 7 = 666.

It can be written as a sum of positive squares in only one way, i.e., 70646450436 + 35667721881 = 265794^2 + 188859^2 .

It is not a de Polignac number, because 106314172317 - 2⁴ = 106314172301 is a prime.

It is a super-2 number, since 2×106314172317² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106314172319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5906342898 + ... + 5906342915.

It is an arithmetic number, because the mean of its divisors is an integer number (25594152597).

Almost surely, 2^106314172317 is an apocalyptic number.

It is an amenable number.

106314172317 is a deficient number, since it is larger than the sum of its proper divisors (47250743265).

106314172317 is a wasteful number, since it uses less digits than its factorization.

106314172317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11812685819 (or 11812685816 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

Adding to 106314172317 its reverse (713271413601), we get a palindrome (819585585918).

It can be divided in two parts, 106314 and 172317, that added together give a triangular number (278631 = T₇₄₆).

The spelling of 106314172317 in words is "one hundred six billion, three hundred fourteen million, one hundred seventy-two thousand, three hundred seventeen".