105752284579 has 2 divisors, whose sum is σ = 105752284580. Its totient is φ = 105752284578.

The previous prime is 105752284541. The next prime is 105752284597. The reversal of 105752284579 is 975482257501.

Together with next prime (105752284597) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105752284579 - 2³³ = 97162349987 is a prime.

It is a super-2 number, since 2×105752284579² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105752084579) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52876142289 + 52876142290.

It is an arithmetic number, because the mean of its divisors is an integer number (52876142290).

Almost surely, 2^105752284579 is an apocalyptic number.

105752284579 is a deficient number, since it is larger than the sum of its proper divisors (1).

105752284579 is an equidigital number, since it uses as much as digits as its factorization.

105752284579 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7056000, while the sum is 55.

The spelling of 105752284579 in words is "one hundred five billion, seven hundred fifty-two million, two hundred eighty-four thousand, five hundred seventy-nine".