105047284 has 24 divisors (see below), whose sum is σ = 194970888. Its totient is φ = 49351680.

The previous prime is 105047273. The next prime is 105047291. The reversal of 105047284 is 482740501.

It can be written as a sum of positive squares in 4 ways, for example, as 37478884 + 67568400 = 6122^2 + 8220^2 .

It is a super-2 number, since 2×105047284² = 22069863751553312, 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 (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63994 + ... + 65614.

It is an arithmetic number, because the mean of its divisors is an integer number (8123787).

Almost surely, 2^105047284 is an apocalyptic number.

It is an amenable number.

105047284 is a deficient number, since it is larger than the sum of its proper divisors (89923604).

105047284 is a wasteful number, since it uses less digits than its factorization.

105047284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2595 (or 2593 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 31.

The square root of 105047284 is about 10249.2577292212. The cubic root of 105047284 is about 471.8402037351.

Adding to 105047284 its reverse (482740501), we get a palindrome (587787785).

The spelling of 105047284 in words is "one hundred five million, forty-seven thousand, two hundred eighty-four".