105824536245229 has 2 divisors, whose sum is σ = 105824536245230. Its totient is φ = 105824536245228.

The previous prime is 105824536245191. The next prime is 105824536245271. The reversal of 105824536245229 is 922542635428501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 102611024684100 + 3213511561129 = 10129710^2 + 1792627^2 .

It is a cyclic number.

It is not a de Polignac number, because 105824536245229 - 2⁴³ = 97028443223021 is a prime.

It is a super-3 number, since 3×105824536245229³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105824536245289) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52912268122614 + 52912268122615.

It is an arithmetic number, because the mean of its divisors is an integer number (52912268122615).

Almost surely, 2^{105824536245229} is an apocalyptic number.

It is an amenable number.

105824536245229 is a deficient number, since it is larger than the sum of its proper divisors (1).

105824536245229 is an equidigital number, since it uses as much as digits as its factorization.

105824536245229 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 41472000, while the sum is 58.

The spelling of 105824536245229 in words is "one hundred five trillion, eight hundred twenty-four billion, five hundred thirty-six million, two hundred forty-five thousand, two hundred twenty-nine".