105905123 has 2 divisors, whose sum is σ = 105905124. Its totient is φ = 105905122.

The previous prime is 105905119. The next prime is 105905159. The reversal of 105905123 is 321509501.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 105905123 - 2² = 105905119 is a prime.

It is a super-2 number, since 2×105905123² = 22431790155290258, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105905092 and 105905101.

It is not a weakly prime, because it can be changed into another prime (105905623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52952561 + 52952562.

It is an arithmetic number, because the mean of its divisors is an integer number (52952562).

Almost surely, 2^105905123 is an apocalyptic number.

105905123 is a deficient number, since it is larger than the sum of its proper divisors (1).

105905123 is an equidigital number, since it uses as much as digits as its factorization.

105905123 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1350, while the sum is 26.

The square root of 105905123 is about 10291.0214750529. The cubic root of 105905123 is about 473.1211066156.

The spelling of 105905123 in words is "one hundred five million, nine hundred five thousand, one hundred twenty-three".