105608305583509 has 2 divisors, whose sum is σ = 105608305583510. Its totient is φ = 105608305583508.

The previous prime is 105608305583503. The next prime is 105608305583567. The reversal of 105608305583509 is 905385503806501.

It is an a-pointer prime, because the next prime (105608305583567) can be obtained adding 105608305583509 to its sum of digits (58).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95418024286225 + 10190281297284 = 9768215^2 + 3192222^2 .

It is a cyclic number.

It is not a de Polignac number, because 105608305583509 - 2¹⁹ = 105608305059221 is a prime.

It is a super-2 number, since 2×105608305583509² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105608305583503) 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, 52804152791754 + 52804152791755.

It is an arithmetic number, because the mean of its divisors is an integer number (52804152791755).

Almost surely, 2^{105608305583509} is an apocalyptic number.

It is an amenable number.

105608305583509 is a deficient number, since it is larger than the sum of its proper divisors (1).

105608305583509 is an equidigital number, since it uses as much as digits as its factorization.

105608305583509 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19440000, while the sum is 58.

The spelling of 105608305583509 in words is "one hundred five trillion, six hundred eight billion, three hundred five million, five hundred eighty-three thousand, five hundred nine".