106766715317 has 8 divisors (see below), whose sum is σ = 110511818040. Its totient is φ = 103025845440.

The previous prime is 106766715269. The next prime is 106766715373. The reversal of 106766715317 is 713517667601.

It can be written as a sum of positive squares in 4 ways, for example, as 1297008196 + 105469707121 = 36014^2 + 324761^2 .

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

It is not a de Polignac number, because 106766715317 - 2²⁰ = 106765666741 is a prime.

It is a super-2 number, since 2×106766715317² (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 (106766715397) 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, 1006838 + ... + 1107815.

It is an arithmetic number, because the mean of its divisors is an integer number (13813977255).

Almost surely, 2^106766715317 is an apocalyptic number.

It is an amenable number.

106766715317 is a deficient number, since it is larger than the sum of its proper divisors (3745102723).

106766715317 is a wasteful number, since it uses less digits than its factorization.

106766715317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2116423.

The product of its (nonzero) digits is 1111320, while the sum is 50.

The spelling of 106766715317 in words is "one hundred six billion, seven hundred sixty-six million, seven hundred fifteen thousand, three hundred seventeen".