105960017 has 8 divisors (see below), whose sum is σ = 111681600. Its totient is φ = 100252944.

The previous prime is 105960007. The next prime is 105960053. The reversal of 105960017 is 710069501.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 105960017 - 2¹⁴ = 105943633 is a prime.

It is a super-2 number, since 2×105960017² = 22455050405280578, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105960007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13484 + ... + 19842.

It is an arithmetic number, because the mean of its divisors is an integer number (13960200).

Almost surely, 2^105960017 is an apocalyptic number.

It is an amenable number.

105960017 is a deficient number, since it is larger than the sum of its proper divisors (5721583).

105960017 is an equidigital number, since it uses as much as digits as its factorization.

105960017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7255.

The product of its (nonzero) digits is 1890, while the sum is 29.

The square root of 105960017 is about 10293.6882117150. The cubic root of 105960017 is about 473.2028370781.

The spelling of 105960017 in words is "one hundred five million, nine hundred sixty thousand, seventeen".