10105521782429 has 2 divisors, whose sum is σ = 10105521782430. Its totient is φ = 10105521782428.

The previous prime is 10105521782383. The next prime is 10105521782441. The reversal of 10105521782429 is 92428712550101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7947860448025 + 2157661334404 = 2819195^2 + 1468898^2 .

It is a cyclic number.

It is not a de Polignac number, because 10105521782429 - 2⁴⁰ = 9006010154653 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10105521782729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5052760891214 + 5052760891215.

It is an arithmetic number, because the mean of its divisors is an integer number (5052760891215).

Almost surely, 2^{10105521782429} is an apocalyptic number.

It is an amenable number.

10105521782429 is a deficient number, since it is larger than the sum of its proper divisors (1).

10105521782429 is an equidigital number, since it uses as much as digits as its factorization.

10105521782429 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 403200, while the sum is 47.

The spelling of 10105521782429 in words is "ten trillion, one hundred five billion, five hundred twenty-one million, seven hundred eighty-two thousand, four hundred twenty-nine".