105005606500213 has 4 divisors (see below), whose sum is σ = 105010065549900. Its totient is φ = 105001147450528.

The previous prime is 105005606500177. The next prime is 105005606500217. The reversal of 105005606500213 is 312005606500501.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 1902032656164 + 103103573844049 = 1379142^2 + 10153993^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105005606500213 is a prime.

It is a super-2 number, since 2×105005606500213² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105005606500217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2229489520 + ... + 2229536617.

It is an arithmetic number, because the mean of its divisors is an integer number (26252516387475).

Almost surely, 2^{105005606500213} is an apocalyptic number.

It is an amenable number.

105005606500213 is a deficient number, since it is larger than the sum of its proper divisors (4459049687).

105005606500213 is an equidigital number, since it uses as much as digits as its factorization.

105005606500213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4459049686.

The product of its (nonzero) digits is 27000, while the sum is 34.

The spelling of 105005606500213 in words is "one hundred five trillion, five billion, six hundred six million, five hundred thousand, two hundred thirteen".