105217300217 has 8 divisors (see below), whose sum is σ = 110768787360. Its totient is φ = 99667186560.

The previous prime is 105217300213. The next prime is 105217300219. The reversal of 105217300217 is 712003712501.

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 105217300217 - 2² = 105217300213 is a prime.

It is a super-2 number, since 2×105217300217² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105217300217.

It is not an unprimeable number, because it can be changed into a prime (105217300211) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 184223 + ... + 494340.

It is an arithmetic number, because the mean of its divisors is an integer number (13846098420).

Almost surely, 2^105217300217 is an apocalyptic number.

It is an amenable number.

105217300217 is a deficient number, since it is larger than the sum of its proper divisors (5551487143).

105217300217 is an equidigital number, since it uses as much as digits as its factorization.

105217300217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686743.

The product of its (nonzero) digits is 2940, while the sum is 29.

The spelling of 105217300217 in words is "one hundred five billion, two hundred seventeen million, three hundred thousand, two hundred seventeen".