105711007017 has 32 divisors (see below), whose sum is σ = 175815889920. Its totient is φ = 54887152320.

The previous prime is 105711007007. The next prime is 105711007081. The reversal of 105711007017 is 710700117501.

It is a happy number.

It is not a de Polignac number, because 105711007017 - 2⁴ = 105711007001 is a prime.

It is a super-2 number, since 2×105711007017² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105711007007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 348459 + ... + 576927.

It is an arithmetic number, because the mean of its divisors is an integer number (5494246560).

Almost surely, 2^105711007017 is an apocalyptic number.

It is an amenable number.

105711007017 is a deficient number, since it is larger than the sum of its proper divisors (70104882903).

105711007017 is a wasteful number, since it uses less digits than its factorization.

105711007017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230493.

The product of its (nonzero) digits is 1715, while the sum is 30.

The spelling of 105711007017 in words is "one hundred five billion, seven hundred eleven million, seven thousand, seventeen".