105432412251325 has 12 divisors (see below), whose sum is σ = 131062216618548. Its totient is φ = 84135590816000.

The previous prime is 105432412251281. The next prime is 105432412251329. The reversal of 105432412251325 is 523152214234501.

It can be written as a sum of positive squares in 6 ways, for example, as 13667239667929 + 91765172583396 = 3696923^2 + 9579414^2 .

It is not a de Polignac number, because 105432412251325 - 2¹¹ = 105432412249277 is a prime.

It is a super-2 number, since 2×105432412251325² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105432412251329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5258464402 + ... + 5258484451.

It is an arithmetic number, because the mean of its divisors is an integer number (10921851384879).

Almost surely, 2^{105432412251325} is an apocalyptic number.

It is an amenable number.

105432412251325 is a deficient number, since it is larger than the sum of its proper divisors (25629804367223).

105432412251325 is a wasteful number, since it uses less digits than its factorization.

105432412251325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10516949264 (or 10516949259 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 40.

Adding to 105432412251325 its reverse (523152214234501), we get a palindrome (628584626485826).

The spelling of 105432412251325 in words is "one hundred five trillion, four hundred thirty-two billion, four hundred twelve million, two hundred fifty-one thousand, three hundred twenty-five".