105385123 has 2 divisors, whose sum is σ = 105385124. Its totient is φ = 105385122.

The previous prime is 105385109. The next prime is 105385127. The reversal of 105385123 is 321583501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105385123 - 2⁹ = 105384611 is a prime.

It is a super-2 number, since 2×105385123² = 22212048299450258, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105385091 and 105385100.

It is not a weakly prime, because it can be changed into another prime (105385127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52692561 + 52692562.

It is an arithmetic number, because the mean of its divisors is an integer number (52692562).

Almost surely, 2^105385123 is an apocalyptic number.

105385123 is a deficient number, since it is larger than the sum of its proper divisors (1).

105385123 is an equidigital number, since it uses as much as digits as its factorization.

105385123 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 105385123 is about 10265.7256441033. The cubic root of 105385123 is about 472.3454855296.

The spelling of 105385123 in words is "one hundred five million, three hundred eighty-five thousand, one hundred twenty-three".