105716304 has 60 divisors (see below), whose sum is σ = 311438400. Its totient is φ = 33383232.

The previous prime is 105716297. The next prime is 105716341. The reversal of 105716304 is 403617501.

It is a super-2 number, since 2×105716304² = 22351873862840832, which contains 22 as substring.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 16584 + ... + 22055.

It is an arithmetic number, because the mean of its divisors is an integer number (5190640).

Almost surely, 2^105716304 is an apocalyptic number.

It is an amenable number.

105716304 is an abundant number, since it is smaller than the sum of its proper divisors (205722096).

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

105716304 is a wasteful number, since it uses less digits than its factorization.

105716304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38672 (or 38663 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 105716304 is about 10281.8434144856. The cubic root of 105716304 is about 472.8397623460.

The spelling of 105716304 in words is "one hundred five million, seven hundred sixteen thousand, three hundred four".