105405284 has 12 divisors (see below), whose sum is σ = 186986604. Its totient is φ = 51980544.

The previous prime is 105405283. The next prime is 105405323. The reversal of 105405284 is 482504501.

It can be written as a sum of positive squares in 2 ways, for example, as 39438400 + 65966884 = 6280^2 + 8122^2 .

It is a super-2 number, since 2×105405284² = 22220547790241312, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105405283) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 180197 + ... + 180780.

It is an arithmetic number, because the mean of its divisors is an integer number (15582217).

Almost surely, 2^105405284 is an apocalyptic number.

It is an amenable number.

105405284 is a deficient number, since it is larger than the sum of its proper divisors (81581320).

105405284 is a wasteful number, since it uses less digits than its factorization.

105405284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361054 (or 361052 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 29.

The square root of 105405284 is about 10266.7075540311. The cubic root of 105405284 is about 472.3756047401.

Adding to 105405284 its reverse (482504501), we get a palindrome (587909785).

The spelling of 105405284 in words is "one hundred five million, four hundred five thousand, two hundred eighty-four".