105432412305 has 64 divisors (see below), whose sum is σ = 188242403328. Its totient is φ = 49951407360.

The previous prime is 105432412247. The next prime is 105432412313. The reversal of 105432412305 is 503214234501.

It is not a de Polignac number, because 105432412305 - 2⁸ = 105432412049 is a prime.

It is a super-2 number, since 2×105432412305² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5006979 + ... + 5027991.

It is an arithmetic number, because the mean of its divisors is an integer number (2941287552).

Almost surely, 2^105432412305 is an apocalyptic number.

105432412305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105432412305 is a deficient number, since it is larger than the sum of its proper divisors (82809991023).

105432412305 is a wasteful number, since it uses less digits than its factorization.

105432412305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21726.

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 105432412305 its reverse (503214234501), we get a palindrome (608646646806).

The spelling of 105432412305 in words is "one hundred five billion, four hundred thirty-two million, four hundred twelve thousand, three hundred five".