105038071 has 2 divisors, whose sum is σ = 105038072. Its totient is φ = 105038070.

The previous prime is 105038069. The next prime is 105038083. The reversal of 105038071 is 170830501.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 105038071 - 2¹ = 105038069 is a prime.

It is a super-2 number, since 2×105038071² = 22065992718802082, which contains 22 as substring.

Together with 105038069, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105038051) 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, 52519035 + 52519036.

It is an arithmetic number, because the mean of its divisors is an integer number (52519036).

Almost surely, 2^105038071 is an apocalyptic number.

105038071 is a deficient number, since it is larger than the sum of its proper divisors (1).

105038071 is an equidigital number, since it uses as much as digits as its factorization.

105038071 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 840, while the sum is 25.

The square root of 105038071 is about 10248.8082721846. The cubic root of 105038071 is about 471.8264093410.

Adding to 105038071 its reverse (170830501), we get a palindrome (275868572).

The spelling of 105038071 in words is "one hundred five million, thirty-eight thousand, seventy-one".