105174221 has 2 divisors, whose sum is σ = 105174222. Its totient is φ = 105174220.

The previous prime is 105174191. The next prime is 105174241. The reversal of 105174221 is 122471501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74149321 + 31024900 = 8611^2 + 5570^2 .

It is an emirp because it is prime and its reverse (122471501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105174221 - 2¹⁸ = 104912077 is a prime.

It is a super-2 number, since 2×105174221² = 22123233525913682, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105174241) 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 as a sum of consecutive naturals, namely, 52587110 + 52587111.

It is an arithmetic number, because the mean of its divisors is an integer number (52587111).

Almost surely, 2^105174221 is an apocalyptic number.

It is an amenable number.

105174221 is a deficient number, since it is larger than the sum of its proper divisors (1).

105174221 is an equidigital number, since it uses as much as digits as its factorization.

105174221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 560, while the sum is 23.

The square root of 105174221 is about 10255.4483568492. The cubic root of 105174221 is about 472.0301812669.

The spelling of 105174221 in words is "one hundred five million, one hundred seventy-four thousand, two hundred twenty-one".