105224521 has 2 divisors, whose sum is σ = 105224522. Its totient is φ = 105224520.

The previous prime is 105224519. The next prime is 105224591. The reversal of 105224521 is 125422501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 63441225 + 41783296 = 7965^2 + 6464^2 .

It is a cyclic number.

It is not a de Polignac number, because 105224521 - 2¹ = 105224519 is a prime.

It is a super-2 number, since 2×105224521² = 22144399639358882, which contains 22 as substring.

Together with 105224519, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 105224492 and 105224501.

It is not a weakly prime, because it can be changed into another prime (105224591) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52612260 + 52612261.

It is an arithmetic number, because the mean of its divisors is an integer number (52612261).

Almost surely, 2^105224521 is an apocalyptic number.

It is an amenable number.

105224521 is a deficient number, since it is larger than the sum of its proper divisors (1).

105224521 is an equidigital number, since it uses as much as digits as its factorization.

105224521 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 105224521 is about 10257.9004187017. The cubic root of 105224521 is about 472.1054193935.

The spelling of 105224521 in words is "one hundred five million, two hundred twenty-four thousand, five hundred twenty-one".