105424264 has 32 divisors (see below), whose sum is σ = 218607840. Its totient is φ = 47260800.

The previous prime is 105424237. The next prime is 105424271. The reversal of 105424264 is 462424501.

It is a super-2 number, since 2×105424264² = 22228550879883392, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1782 + ... + 14629.

It is an arithmetic number, because the mean of its divisors is an integer number (6831495).

Almost surely, 2^105424264 is an apocalyptic number.

It is an amenable number.

105424264 is an abundant number, since it is smaller than the sum of its proper divisors (113183576).

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

105424264 is a wasteful number, since it uses less digits than its factorization.

105424264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16501 (or 16497 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 105424264 is about 10267.6318593919. The cubic root of 105424264 is about 472.4039561046.

Adding to 105424264 its reverse (462424501), we get a palindrome (567848765).

The spelling of 105424264 in words is "one hundred five million, four hundred twenty-four thousand, two hundred sixty-four".