105288829 has 2 divisors, whose sum is σ = 105288830. Its totient is φ = 105288828.

The previous prime is 105288809. The next prime is 105288847. The reversal of 105288829 is 928882501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 55204900 + 50083929 = 7430^2 + 7077^2 .

It is an emirp because it is prime and its reverse (928882501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105288829 - 2⁵ = 105288797 is a prime.

It is a super-2 number, since 2×105288829² = 22171475024382482, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105288809) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52644414 + 52644415.

It is an arithmetic number, because the mean of its divisors is an integer number (52644415).

Almost surely, 2^105288829 is an apocalyptic number.

It is an amenable number.

105288829 is a deficient number, since it is larger than the sum of its proper divisors (1).

105288829 is an equidigital number, since it uses as much as digits as its factorization.

105288829 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 92160, while the sum is 43.

The square root of 105288829 is about 10261.0344995034. The cubic root of 105288829 is about 472.2015756007.

The spelling of 105288829 in words is "one hundred five million, two hundred eighty-eight thousand, eight hundred twenty-nine".