105222202349941 has 2 divisors, whose sum is σ = 105222202349942. Its totient is φ = 105222202349940.

The previous prime is 105222202349837. The next prime is 105222202350037. The reversal of 105222202349941 is 149943202222501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 79130436189841 + 26091766160100 = 8895529^2 + 5108010^2 .

It is a cyclic number.

It is not a de Polignac number, because 105222202349941 - 2¹⁷ = 105222202218869 is a prime.

It is a super-2 number, since 2×105222202349941² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105222202349891 and 105222202349900.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105222202749941) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52611101174970 + 52611101174971.

It is an arithmetic number, because the mean of its divisors is an integer number (52611101174971).

Almost surely, 2^{105222202349941} is an apocalyptic number.

It is an amenable number.

105222202349941 is a deficient number, since it is larger than the sum of its proper divisors (1).

105222202349941 is an equidigital number, since it uses as much as digits as its factorization.

105222202349941 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 622080, while the sum is 46.

The spelling of 105222202349941 in words is "one hundred five trillion, two hundred twenty-two billion, two hundred two million, three hundred forty-nine thousand, nine hundred forty-one".