105288568324 has 27 divisors (see below), whose sum is σ = 194485803687. Its totient is φ = 49867691688.

The previous prime is 105288568289. The next prime is 105288568327. The reversal of 105288568324 is 423865882501.

The square root of 105288568324 is 324482.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×105288568324² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105288568327) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12326047 + ... + 12334585.

Almost surely, 2^105288568324 is an apocalyptic number.

105288568324 is the 324482-nd square number.

It is an amenable number.

105288568324 is a deficient number, since it is larger than the sum of its proper divisors (89197235363).

105288568324 is an frugal number, since it uses more digits than its factorization.

105288568324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17120 (or 8560 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 52.

The spelling of 105288568324 in words is "one hundred five billion, two hundred eighty-eight million, five hundred sixty-eight thousand, three hundred twenty-four".