105066017 has 8 divisors (see below), whose sum is σ = 120412800. Its totient is φ = 89803584.

The previous prime is 105066011. The next prime is 105066083. The reversal of 105066017 is 710660501.

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 105066017 - 2¹⁶ = 105000481 is a prime.

It is a super-2 number, since 2×105066017² = 22077735856488578, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105066011) 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, 18392 + ... + 23417.

It is an arithmetic number, because the mean of its divisors is an integer number (15051600).

Almost surely, 2^105066017 is an apocalyptic number.

It is an amenable number.

105066017 is a deficient number, since it is larger than the sum of its proper divisors (15346783).

105066017 is an equidigital number, since it uses as much as digits as its factorization.

105066017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42175.

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 105066017 is about 10250.1715595399. The cubic root of 105066017 is about 471.8682496995.

The spelling of 105066017 in words is "one hundred five million, sixty-six thousand, seventeen".