105217300205 has 8 divisors (see below), whose sum is σ = 126275969400. Its totient is φ = 84163700736.

The previous prime is 105217300171. The next prime is 105217300211. The reversal of 105217300205 is 502003712501.

It can be written as a sum of positive squares in 4 ways, for example, as 426546409 + 104790753796 = 20653^2 + 323714^2 .

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 105217300205 - 2²⁰ = 105216251629 is a prime.

It is a super-2 number, since 2×105217300205² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1221620 + ... + 1304909.

It is an arithmetic number, because the mean of its divisors is an integer number (15784496175).

Almost surely, 2^105217300205 is an apocalyptic number.

It is an amenable number.

105217300205 is a deficient number, since it is larger than the sum of its proper divisors (21058669195).

105217300205 is an equidigital number, since it uses as much as digits as its factorization.

105217300205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2534863.

The product of its (nonzero) digits is 2100, while the sum is 26.

The spelling of 105217300205 in words is "one hundred five billion, two hundred seventeen million, three hundred thousand, two hundred five".