105364324 has 48 divisors (see below), whose sum is σ = 205611840. Its totient is φ = 46938240.

The previous prime is 105364321. The next prime is 105364339. The reversal of 105364324 is 423463501.

It is a super-2 number, since 2×105364324² = 22203281543953952, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105364292 and 105364301.

It is not an unprimeable number, because it can be changed into a prime (105364321) 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, 186867 + ... + 187429.

It is an arithmetic number, because the mean of its divisors is an integer number (4283580).

Almost surely, 2^105364324 is an apocalyptic number.

It is an amenable number.

105364324 is a deficient number, since it is larger than the sum of its proper divisors (100247516).

105364324 is a wasteful number, since it uses less digits than its factorization.

105364324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 105364324 is about 10264.7125629508. The cubic root of 105364324 is about 472.3144091630.

The spelling of 105364324 in words is "one hundred five million, three hundred sixty-four thousand, three hundred twenty-four".