106005165524517 has 16 divisors (see below), whose sum is σ = 162465389942400. Its totient is φ = 60224239371072.

The previous prime is 106005165524491. The next prime is 106005165524537. The reversal of 106005165524517 is 715425561500601.

It is not a de Polignac number, because 106005165524517 - 2³⁴ = 105987985655333 is a prime.

It is a super-2 number, since 2×106005165524517² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106005165524537) 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 15 ways as a sum of consecutive naturals, for example, 14589201642 + ... + 14589208907.

It is an arithmetic number, because the mean of its divisors is an integer number (10154086871400).

Almost surely, 2^{106005165524517} is an apocalyptic number.

It is an amenable number.

106005165524517 is a deficient number, since it is larger than the sum of its proper divisors (56460224417883).

106005165524517 is a wasteful number, since it uses less digits than its factorization.

106005165524517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29178410732.

The product of its (nonzero) digits is 1260000, while the sum is 48.

The spelling of 106005165524517 in words is "one hundred six trillion, five billion, one hundred sixty-five million, five hundred twenty-four thousand, five hundred seventeen".