105005324 has 12 divisors (see below), whose sum is σ = 193431000. Its totient is φ = 49739328.

The previous prime is 105005321. The next prime is 105005333. The reversal of 105005324 is 423500501.

It is a super-2 number, since 2×105005324² = 22052236136689952, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105005296 and 105005305.

It is not an unprimeable number, because it can be changed into a prime (105005321) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 690749 + ... + 690900.

It is an arithmetic number, because the mean of its divisors is an integer number (16119250).

Almost surely, 2^105005324 is an apocalyptic number.

It is an amenable number.

105005324 is a deficient number, since it is larger than the sum of its proper divisors (88425676).

105005324 is a wasteful number, since it uses less digits than its factorization.

105005324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1381672 (or 1381670 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 105005324 is about 10247.2105472660. The cubic root of 105005324 is about 471.7773715486. Note that the first 3 decimals are identical.

Adding to 105005324 its reverse (423500501), we get a palindrome (528505825).

The spelling of 105005324 in words is "one hundred five million, five thousand, three hundred twenty-four".