105024325143232 has 56 divisors (see below), whose sum is σ = 227437786261440. Its totient is φ = 47720693602560.

The previous prime is 105024325143191. The next prime is 105024325143239. The reversal of 105024325143232 is 232341523420501.

105024325143232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105024325143232² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105024325143191 and 105024325143200.

It is not an unprimeable number, because it can be changed into a prime (105024325143239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25649182 + ... + 29460637.

Almost surely, 2^{105024325143232} is an apocalyptic number.

It is an amenable number.

105024325143232 is an abundant number, since it is smaller than the sum of its proper divisors (122413461118208).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105024325143232 is a wasteful number, since it uses less digits than its factorization.

105024325143232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55112549 (or 55112539 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 37.

Adding to 105024325143232 its reverse (232341523420501), we get a palindrome (337365848563733).

The spelling of 105024325143232 in words is "one hundred five trillion, twenty-four billion, three hundred twenty-five million, one hundred forty-three thousand, two hundred thirty-two".