105304221 has 24 divisors (see below), whose sum is σ = 166832640. Its totient is φ = 63475200.

The previous prime is 105304211. The next prime is 105304237. The reversal of 105304221 is 122403501.

It is not a de Polignac number, because 105304221 - 2⁷ = 105304093 is a prime.

It is a super-3 number, since 3×105304221³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 105304194 and 105304203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105304211) 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, 16125 + ... + 21693.

It is an arithmetic number, because the mean of its divisors is an integer number (6951360).

Almost surely, 2^105304221 is an apocalyptic number.

105304221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105304221 is a deficient number, since it is larger than the sum of its proper divisors (61528419).

105304221 is a wasteful number, since it uses less digits than its factorization.

105304221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5777 (or 5774 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 105304221 is about 10261.7844939367. The cubic root of 105304221 is about 472.2245846023.

Adding to 105304221 its reverse (122403501), we get a palindrome (227707722).

The spelling of 105304221 in words is "one hundred five million, three hundred four thousand, two hundred twenty-one".