105034314213 has 24 divisors (see below), whose sum is σ = 155844369408. Its totient is φ = 68118255072.

The previous prime is 105034314211. The next prime is 105034314223. The reversal of 105034314213 is 312413430501.

It is a happy number.

105034314213 is a `hidden beast` number, since 1 + 0 + 503 + 4 + 3 + 142 + 13 = 666.

It is not a de Polignac number, because 105034314213 - 2¹ = 105034314211 is a prime.

It is a super-2 number, since 2×105034314213² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105034314211) 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 23 ways as a sum of consecutive naturals, for example, 2087356 + ... + 2137082.

It is an arithmetic number, because the mean of its divisors is an integer number (6493515392).

Almost surely, 2^105034314213 is an apocalyptic number.

It is an amenable number.

105034314213 is a deficient number, since it is larger than the sum of its proper divisors (50810055195).

105034314213 is a wasteful number, since it uses less digits than its factorization.

105034314213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56113 (or 56110 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 105034314213 its reverse (312413430501), we get a palindrome (417447744714).

The spelling of 105034314213 in words is "one hundred five billion, thirty-four million, three hundred fourteen thousand, two hundred thirteen".