105325224 has 32 divisors (see below), whose sum is σ = 265926240. Its totient is φ = 34760000.

The previous prime is 105325201. The next prime is 105325243. The reversal of 105325224 is 422523501.

It is a super-2 number, since 2×105325224² = 22186805621300352, which contains 22 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 105325194 and 105325203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19302 + ... + 24149.

It is an arithmetic number, because the mean of its divisors is an integer number (8310195).

Almost surely, 2^105325224 is an apocalyptic number.

It is an amenable number.

105325224 is an abundant number, since it is smaller than the sum of its proper divisors (160601016).

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

105325224 is a wasteful number, since it uses less digits than its factorization.

105325224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43561 (or 43557 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 105325224 is about 10262.8078029358. The cubic root of 105325224 is about 472.2559776890.

Adding to 105325224 its reverse (422523501), we get a palindrome (527848725).

The spelling of 105325224 in words is "one hundred five million, three hundred twenty-five thousand, two hundred twenty-four".