105145301 has 2 divisors, whose sum is σ = 105145302. Its totient is φ = 105145300.

The previous prime is 105145291. The next prime is 105145303. The reversal of 105145301 is 103541501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103042801 + 2102500 = 10151^2 + 1450^2 .

It is a cyclic number.

It is not a de Polignac number, because 105145301 - 2¹⁴ = 105128917 is a prime.

It is a super-2 number, since 2×105145301² = 22111068644761202, which contains 22 as substring.

Together with 105145303, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105145303) 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, 52572650 + 52572651.

It is an arithmetic number, because the mean of its divisors is an integer number (52572651).

Almost surely, 2^105145301 is an apocalyptic number.

It is an amenable number.

105145301 is a deficient number, since it is larger than the sum of its proper divisors (1).

105145301 is an equidigital number, since it uses as much as digits as its factorization.

105145301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 105145301 is about 10254.0382776738. The cubic root of 105145301 is about 471.9869122221.

Adding to 105145301 its reverse (103541501), we get a palindrome (208686802).

The spelling of 105145301 in words is "one hundred five million, one hundred forty-five thousand, three hundred one".