105126071 has 2 divisors, whose sum is σ = 105126072. Its totient is φ = 105126070.

The previous prime is 105126061. The next prime is 105126089. The reversal of 105126071 is 170621501.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 105126071 - 2¹⁰ = 105125047 is a prime.

It is a super-2 number, since 2×105126071² = 22102981607794082, which contains 22 as substring.

It is a Sophie Germain prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105126001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52563035 + 52563036.

It is an arithmetic number, because the mean of its divisors is an integer number (52563036).

Almost surely, 2^105126071 is an apocalyptic number.

105126071 is a deficient number, since it is larger than the sum of its proper divisors (1).

105126071 is an equidigital number, since it uses as much as digits as its factorization.

105126071 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 420, while the sum is 23.

The square root of 105126071 is about 10253.1005554418. The cubic root of 105126071 is about 471.9581366084.

Adding to 105126071 its reverse (170621501), we get a palindrome (275747572).

The spelling of 105126071 in words is "one hundred five million, one hundred twenty-six thousand, seventy-one".