105217300206 has 24 divisors (see below), whose sum is σ = 228296052504. Its totient is φ = 35022397200.

The previous prime is 105217300171. The next prime is 105217300211. The reversal of 105217300206 is 602003712501.

It is a happy number.

It is a super-2 number, since 2×105217300206² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105217300206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4156716 + ... + 4181951.

It is an arithmetic number, because the mean of its divisors is an integer number (9512335521).

Almost surely, 2^105217300206 is an apocalyptic number.

105217300206 is an abundant number, since it is smaller than the sum of its proper divisors (123078752298).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105217300206 is a wasteful number, since it uses less digits than its factorization.

105217300206 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8339376 (or 8339373 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 105217300206 in words is "one hundred five billion, two hundred seventeen million, three hundred thousand, two hundred six".