105285823 has 2 divisors, whose sum is σ = 105285824. Its totient is φ = 105285822.

The previous prime is 105285799. The next prime is 105285841. The reversal of 105285823 is 328582501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105285823 - 2²⁵ = 71731391 is a prime.

It is a super-2 number, since 2×105285823² = 22170209049574658, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105285853) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52642911 + 52642912.

It is an arithmetic number, because the mean of its divisors is an integer number (52642912).

Almost surely, 2^105285823 is an apocalyptic number.

105285823 is a deficient number, since it is larger than the sum of its proper divisors (1).

105285823 is an equidigital number, since it uses as much as digits as its factorization.

105285823 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 19200, while the sum is 34.

The square root of 105285823 is about 10260.8880219989. Note that the first 3 decimals coincide. The cubic root of 105285823 is about 472.1970817671.

The spelling of 105285823 in words is "one hundred five million, two hundred eighty-five thousand, eight hundred twenty-three".