105211726317 has 6 divisors (see below), whose sum is σ = 151972493582. Its totient is φ = 70141150872.

The previous prime is 105211726307. The next prime is 105211726349. The reversal of 105211726317 is 713627112501.

105211726317 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 1 + 17 + 2 + 631 + 7 = 666.

It can be written as a sum of positive squares in only one way, i.e., 89105832036 + 16105894281 = 298506^2 + 126909^2 .

It is not a de Polignac number, because 105211726317 - 2²³ = 105203337709 is a prime.

It is a super-2 number, since 2×105211726317² (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 (105211726307) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5845095898 + ... + 5845095915.

Almost surely, 2^105211726317 is an apocalyptic number.

It is an amenable number.

105211726317 is a deficient number, since it is larger than the sum of its proper divisors (46760767265).

105211726317 is a wasteful number, since it uses less digits than its factorization.

105211726317 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11690191819 (or 11690191816 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

Adding to 105211726317 its reverse (713627112501), we get a palindrome (818838838818).

The spelling of 105211726317 in words is "one hundred five billion, two hundred eleven million, seven hundred twenty-six thousand, three hundred seventeen".