105363829 has 2 divisors, whose sum is σ = 105363830. Its totient is φ = 105363828.

The previous prime is 105363821. The next prime is 105363857. The reversal of 105363829 is 928363501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 54982225 + 50381604 = 7415^2 + 7098^2 .

It is a cyclic number.

It is not a de Polignac number, because 105363829 - 2³ = 105363821 is a prime.

It is a super-2 number, since 2×105363829² = 22203072923082482, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105363821) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52681914 + 52681915.

It is an arithmetic number, because the mean of its divisors is an integer number (52681915).

Almost surely, 2^105363829 is an apocalyptic number.

It is an amenable number.

105363829 is a deficient number, since it is larger than the sum of its proper divisors (1).

105363829 is an equidigital number, since it uses as much as digits as its factorization.

105363829 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 105363829 is about 10264.6884511903. The cubic root of 105363829 is about 472.3136695198.

It can be divided in two parts, 10536 and 3829, that added together give a triangular number (14365 = T₁₆₉).

The spelling of 105363829 in words is "one hundred five million, three hundred sixty-three thousand, eight hundred twenty-nine".