105284106 has 12 divisors (see below), whose sum is σ = 228115602. Its totient is φ = 35094696.

The previous prime is 105284093. The next prime is 105284107. The reversal of 105284106 is 601482501.

It can be written as a sum of positive squares in only one way, i.e., 101183481 + 4100625 = 10059^2 + 2025^2 .

It is a super-2 number, since 2×105284106² = 22169485952438472, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105284106.

It is not an unprimeable number, because it can be changed into a prime (105284107) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2924541 + ... + 2924576.

Almost surely, 2^105284106 is an apocalyptic number.

105284106 is an abundant number, since it is smaller than the sum of its proper divisors (122831496).

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

105284106 is a wasteful number, since it uses less digits than its factorization.

105284106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5849125 (or 5849122 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 105284106 is about 10260.8043544354. The cubic root of 105284106 is about 472.1945148916.

It can be divided in two parts, 1052 and 84106, that added together give a palindrome (85158).

The spelling of 105284106 in words is "one hundred five million, two hundred eighty-four thousand, one hundred six".