105706100017 has 16 divisors (see below), whose sum is σ = 121589500032. Its totient is φ = 90020027520.

The previous prime is 105706100009. The next prime is 105706100047. The reversal of 105706100017 is 710001607501.

It is a cyclic number.

It is not a de Polignac number, because 105706100017 - 2³ = 105706100009 is a prime.

It is a super-2 number, since 2×105706100017² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105706100047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 681598 + ... + 822184.

It is an arithmetic number, because the mean of its divisors is an integer number (7599343752).

Almost surely, 2^105706100017 is an apocalyptic number.

It is an amenable number.

105706100017 is a deficient number, since it is larger than the sum of its proper divisors (15883400015).

105706100017 is a wasteful number, since it uses less digits than its factorization.

105706100017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141288.

The product of its (nonzero) digits is 1470, while the sum is 28.

Adding to 105706100017 its reverse (710001607501), we get a palindrome (815707707518).

The spelling of 105706100017 in words is "one hundred five billion, seven hundred six million, one hundred thousand, seventeen".