105066662221 has 2 divisors, whose sum is σ = 105066662222. Its totient is φ = 105066662220.

The previous prime is 105066662189. The next prime is 105066662269. The reversal of 105066662221 is 122266660501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 90908280100 + 14158382121 = 301510^2 + 118989^2 .

It is an emirp because it is prime and its reverse (122266660501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105066662221 - 2⁵ = 105066662189 is a prime.

It is a super-2 number, since 2×105066662221² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105066662321) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52533331110 + 52533331111.

It is an arithmetic number, because the mean of its divisors is an integer number (52533331111).

Almost surely, 2^105066662221 is an apocalyptic number.

It is an amenable number.

105066662221 is a deficient number, since it is larger than the sum of its proper divisors (1).

105066662221 is an equidigital number, since it uses as much as digits as its factorization.

105066662221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 51840, while the sum is 37.

The spelling of 105066662221 in words is "one hundred five billion, sixty-six million, six hundred sixty-two thousand, two hundred twenty-one".