105013424205 has 12 divisors (see below), whose sum is σ = 182023268700. Its totient is φ = 56007159552.

The previous prime is 105013424183. The next prime is 105013424209. The reversal of 105013424205 is 502424310501.

105013424205 is a `hidden beast` number, since 105 + 0 + 134 + 2 + 420 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 51633018441 + 53380405764 = 227229^2 + 231042^2 .

It is not a de Polignac number, because 105013424205 - 2¹⁰ = 105013423181 is a prime.

It is a super-2 number, since 2×105013424205² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105013424209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1166815780 + ... + 1166815869.

It is an arithmetic number, because the mean of its divisors is an integer number (15168605725).

Almost surely, 2^105013424205 is an apocalyptic number.

105013424205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105013424205 is a deficient number, since it is larger than the sum of its proper divisors (77009844495).

105013424205 is a wasteful number, since it uses less digits than its factorization.

105013424205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2333631660 (or 2333631657 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 105013424205 its reverse (502424310501), we get a palindrome (607437734706).

The spelling of 105013424205 in words is "one hundred five billion, thirteen million, four hundred twenty-four thousand, two hundred five".