105058823 has 2 divisors, whose sum is σ = 105058824. Its totient is φ = 105058822.

The previous prime is 105058817. The next prime is 105058829. The reversal of 105058823 is 328850501.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (105058817) and next prime (105058829).

It is a cyclic number.

It is not a de Polignac number, because 105058823 - 2⁸ = 105058567 is a prime.

It is a super-2 number, since 2×105058823² = 22074712580290658, which contains 22 as substring.

It is a Sophie Germain prime.

It is a self number, because there is not a number n which added to its sum of digits gives 105058823.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105058829) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52529411 + 52529412.

It is an arithmetic number, because the mean of its divisors is an integer number (52529412).

Almost surely, 2^105058823 is an apocalyptic number.

105058823 is a deficient number, since it is larger than the sum of its proper divisors (1).

105058823 is an equidigital number, since it uses as much as digits as its factorization.

105058823 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9600, while the sum is 32.

The square root of 105058823 is about 10249.8206325769. The cubic root of 105058823 is about 471.8574796530.

The spelling of 105058823 in words is "one hundred five million, fifty-eight thousand, eight hundred twenty-three".