105242204313 has 12 divisors (see below), whose sum is σ = 157646759088. Its totient is φ = 70161469380.

The previous prime is 105242204297. The next prime is 105242204329. The reversal of 105242204313 is 313402242501.

105242204313 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 4 + 220 + 431 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (105242204297) and next prime (105242204329).

It is not a de Polignac number, because 105242204313 - 2⁴ = 105242204297 is a prime.

It is a super-2 number, since 2×105242204313² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105242224313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 216547503 + ... + 216547988.

It is an arithmetic number, because the mean of its divisors is an integer number (13137229924).

Almost surely, 2^105242204313 is an apocalyptic number.

It is an amenable number.

105242204313 is a deficient number, since it is larger than the sum of its proper divisors (52404554775).

105242204313 is an frugal number, since it uses more digits than its factorization.

105242204313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433095506 (or 433095494 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 105242204313 its reverse (313402242501), we get a palindrome (418644446814).

The spelling of 105242204313 in words is "one hundred five billion, two hundred forty-two million, two hundred four thousand, three hundred thirteen".