105228459 has 24 divisors (see below), whose sum is σ = 174002400. Its totient is φ = 60029568.

The previous prime is 105228457. The next prime is 105228463. The reversal of 105228459 is 954822501.

105228459 is a `hidden beast` number, since 1 + 0 + 522 + 84 + 59 = 666.

It is not a de Polignac number, because 105228459 - 2¹ = 105228457 is a prime.

It is a super-2 number, since 2×105228459² = 22146057167029362, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105228451) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 53017 + ... + 54965.

It is an arithmetic number, because the mean of its divisors is an integer number (7250100).

Almost surely, 2^105228459 is an apocalyptic number.

105228459 is a deficient number, since it is larger than the sum of its proper divisors (68773941).

105228459 is a wasteful number, since it uses less digits than its factorization.

105228459 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2819 (or 2816 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 105228459 is about 10258.0923665173. The cubic root of 105228459 is about 472.1113087937. Note that the first 3 decimals are identical.

It can be divided in two parts, 10522 and 8459, that added together give a palindrome (18981).

The spelling of 105228459 in words is "one hundred five million, two hundred twenty-eight thousand, four hundred fifty-nine".