105301405169 has 2 divisors, whose sum is σ = 105301405170. Its totient is φ = 105301405168.

The previous prime is 105301405109. The next prime is 105301405171. The reversal of 105301405169 is 961504103501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105194489569 + 106915600 = 324337^2 + 10340^2 .

It is a cyclic number.

It is not a de Polignac number, because 105301405169 - 2³⁶ = 36581928433 is a prime.

It is a super-2 number, since 2×105301405169² (a number of 23 digits) contains 22 as substring.

Together with 105301405171, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105301405109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52650702584 + 52650702585.

It is an arithmetic number, because the mean of its divisors is an integer number (52650702585).

Almost surely, 2^105301405169 is an apocalyptic number.

It is an amenable number.

105301405169 is a deficient number, since it is larger than the sum of its proper divisors (1).

105301405169 is an equidigital number, since it uses as much as digits as its factorization.

105301405169 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16200, while the sum is 35.

The spelling of 105301405169 in words is "one hundred five billion, three hundred one million, four hundred five thousand, one hundred sixty-nine".