105304324000 has 96 divisors (see below), whose sum is σ = 273952472976. Its totient is φ = 39643955200.

The previous prime is 105304323991. The next prime is 105304324001. The reversal of 105304324000 is 423403501.

It can be written as a sum of positive squares in 8 ways, for example, as 9265936 + 105295058064 = 3044^2 + 324492^2 .

It is a super-2 number, since 2×105304324000² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105304324001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 706297 + ... + 842296.

Almost surely, 2^105304324000 is an apocalyptic number.

105304324000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105304324000 is an abundant number, since it is smaller than the sum of its proper divisors (168648148976).

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

105304324000 is a wasteful number, since it uses less digits than its factorization.

105304324000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1548635 (or 1548617 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

Adding to 105304324000 its reverse (423403501), we get a palindrome (105727727501).

The spelling of 105304324000 in words is "one hundred five billion, three hundred four million, three hundred twenty-four thousand".