105304230324 has 72 divisors (see below), whose sum is σ = 275894466120. Its totient is φ = 33825792000.

The previous prime is 105304230247. The next prime is 105304230341. The reversal of 105304230324 is 423032403501.

105304230324 is a `hidden beast` number, since 1 + 0 + 5 + 304 + 2 + 30 + 324 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 42168622500 + 63135607824 = 205350^2 + 251268^2 .

It is a super-2 number, since 2×105304230324² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 447124 + ... + 640724.

It is an arithmetic number, because the mean of its divisors is an integer number (3831867585).

Almost surely, 2^105304230324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105304230324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137947233060).

105304230324 is an abundant number, since it is smaller than the sum of its proper divisors (170590235796).

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

105304230324 is a wasteful number, since it uses less digits than its factorization.

105304230324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194161 (or 194156 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 105304230324 its reverse (423032403501), we get a palindrome (528336633825).

The spelling of 105304230324 in words is "one hundred five billion, three hundred four million, two hundred thirty thousand, three hundred twenty-four".