105371969 has 2 divisors, whose sum is σ = 105371970. Its totient is φ = 105371968.

The previous prime is 105371953. The next prime is 105371971. The reversal of 105371969 is 969173501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77228944 + 28143025 = 8788^2 + 5305^2 .

It is a cyclic number.

It is not a de Polignac number, because 105371969 - 2⁴ = 105371953 is a prime.

It is a super-2 number, since 2×105371969² = 22206503701873922, which contains 22 as substring.

Together with 105371971, 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 (105371989) 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, 52685984 + 52685985.

It is an arithmetic number, because the mean of its divisors is an integer number (52685985).

Almost surely, 2^105371969 is an apocalyptic number.

It is an amenable number.

105371969 is a deficient number, since it is larger than the sum of its proper divisors (1).

105371969 is an equidigital number, since it uses as much as digits as its factorization.

105371969 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 51030, while the sum is 41.

The square root of 105371969 is about 10265.0849485038. The cubic root of 105371969 is about 472.3258322462.

The spelling of 105371969 in words is "one hundred five million, three hundred seventy-one thousand, nine hundred sixty-nine".