105224434 has 32 divisors (see below), whose sum is σ = 183168000. Its totient is φ = 44407440.

The previous prime is 105224417. The next prime is 105224437. The reversal of 105224434 is 434422501.

It is a happy number.

It is a super-2 number, since 2×105224434² = 22144363021240712, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105224399 and 105224408.

It is not an unprimeable number, because it can be changed into a prime (105224437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 498589 + ... + 498799.

It is an arithmetic number, because the mean of its divisors is an integer number (5724000).

Almost surely, 2^105224434 is an apocalyptic number.

105224434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

105224434 is a deficient number, since it is larger than the sum of its proper divisors (77943566).

105224434 is a wasteful number, since it uses less digits than its factorization.

105224434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598.

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 105224434 is about 10257.8961780669. The cubic root of 105224434 is about 472.1052892806.

Adding to 105224434 its reverse (434422501), we get a palindrome (539646935).

The spelling of 105224434 in words is "one hundred five million, two hundred twenty-four thousand, four hundred thirty-four".