105291529393 has 2 divisors, whose sum is σ = 105291529394. Its totient is φ = 105291529392.

The previous prime is 105291529391. The next prime is 105291529411. The reversal of 105291529393 is 393925192501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 86666649664 + 18624879729 = 294392^2 + 136473^2 .

It is a cyclic number.

It is not a de Polignac number, because 105291529393 - 2¹ = 105291529391 is a prime.

It is a super-2 number, since 2×105291529393² (a number of 23 digits) contains 22 as substring.

Together with 105291529391, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (105291529391) 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, 52645764696 + 52645764697.

It is an arithmetic number, because the mean of its divisors is an integer number (52645764697).

Almost surely, 2^105291529393 is an apocalyptic number.

It is an amenable number.

105291529393 is a deficient number, since it is larger than the sum of its proper divisors (1).

105291529393 is an equidigital number, since it uses as much as digits as its factorization.

105291529393 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 656100, while the sum is 49.

The spelling of 105291529393 in words is "one hundred five billion, two hundred ninety-one million, five hundred twenty-nine thousand, three hundred ninety-three".