105263735393 has 2 divisors, whose sum is σ = 105263735394. Its totient is φ = 105263735392.

The previous prime is 105263735389. The next prime is 105263735399. The reversal of 105263735393 is 393537362501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99636185104 + 5627550289 = 315652^2 + 75017^2 .

It is a cyclic number.

It is not a de Polignac number, because 105263735393 - 2² = 105263735389 is a prime.

It is a super-2 number, since 2×105263735393² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105263735399) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52631867696 + 52631867697.

It is an arithmetic number, because the mean of its divisors is an integer number (52631867697).

Almost surely, 2^105263735393 is an apocalyptic number.

It is an amenable number.

105263735393 is a deficient number, since it is larger than the sum of its proper divisors (1).

105263735393 is an equidigital number, since it uses as much as digits as its factorization.

105263735393 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1530900, while the sum is 47.

The spelling of 105263735393 in words is "one hundred five billion, two hundred sixty-three million, seven hundred thirty-five thousand, three hundred ninety-three".