105235513247 has 2 divisors, whose sum is σ = 105235513248. Its totient is φ = 105235513246.

The previous prime is 105235513193. The next prime is 105235513283. The reversal of 105235513247 is 742315532501.

It is a strong prime.

It is an emirp because it is prime and its reverse (742315532501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105235513247 - 2³⁰ = 104161771423 is a prime.

It is a super-2 number, since 2×105235513247² (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 105235513247.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105235513297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52617756623 + 52617756624.

It is an arithmetic number, because the mean of its divisors is an integer number (52617756624).

Almost surely, 2^105235513247 is an apocalyptic number.

105235513247 is a deficient number, since it is larger than the sum of its proper divisors (1).

105235513247 is an equidigital number, since it uses as much as digits as its factorization.

105235513247 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 126000, while the sum is 38.

The spelling of 105235513247 in words is "one hundred five billion, two hundred thirty-five million, five hundred thirteen thousand, two hundred forty-seven".