105005325325 has 24 divisors (see below), whose sum is σ = 130822982696. Its totient is φ = 83607552000.

The previous prime is 105005325289. The next prime is 105005325389. The reversal of 105005325325 is 523523500501.

It can be written as a sum of positive squares in 12 ways, for example, as 96211012041 + 8794313284 = 310179^2 + 93778^2 .

It is not a de Polignac number, because 105005325325 - 2⁹ = 105005324813 is a prime.

It is a super-2 number, since 2×105005325325² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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, 4545805 + ... + 4568845.

Almost surely, 2^105005325325 is an apocalyptic number.

It is an amenable number.

105005325325 is a deficient number, since it is larger than the sum of its proper divisors (25817657371).

105005325325 is a wasteful number, since it uses less digits than its factorization.

105005325325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23905 (or 23900 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 31.

Adding to 105005325325 its reverse (523523500501), we get a palindrome (628528825826).

The spelling of 105005325325 in words is "one hundred five billion, five million, three hundred twenty-five thousand, three hundred twenty-five".