105365123 has 2 divisors, whose sum is σ = 105365124. Its totient is φ = 105365122.

The previous prime is 105365111. The next prime is 105365129. The reversal of 105365123 is 321563501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105365123 - 2⁶ = 105365059 is a prime.

It is a super-2 number, since 2×105365123² = 22203618289610258, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105365092 and 105365101.

It is not a weakly prime, because it can be changed into another prime (105365129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52682561 + 52682562.

It is an arithmetic number, because the mean of its divisors is an integer number (52682562).

Almost surely, 2^105365123 is an apocalyptic number.

105365123 is a deficient number, since it is larger than the sum of its proper divisors (1).

105365123 is an equidigital number, since it uses as much as digits as its factorization.

105365123 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2700, while the sum is 26.

The square root of 105365123 is about 10264.7514826225. The cubic root of 105365123 is about 472.3156030467.

The spelling of 105365123 in words is "one hundred five million, three hundred sixty-five thousand, one hundred twenty-three".