105503264821 has 2 divisors, whose sum is σ = 105503264822. Its totient is φ = 105503264820.

The previous prime is 105503264807. The next prime is 105503264861. The reversal of 105503264821 is 128462305501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93443930596 + 12059334225 = 305686^2 + 109815^2 .

It is an emirp because it is prime and its reverse (128462305501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105503264821 - 2³⁵ = 71143526453 is a prime.

It is a super-2 number, since 2×105503264821² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105503264861) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52751632410 + 52751632411.

It is an arithmetic number, because the mean of its divisors is an integer number (52751632411).

Almost surely, 2^105503264821 is an apocalyptic number.

It is an amenable number.

105503264821 is a deficient number, since it is larger than the sum of its proper divisors (1).

105503264821 is an equidigital number, since it uses as much as digits as its factorization.

105503264821 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 57600, while the sum is 37.

The spelling of 105503264821 in words is "one hundred five billion, five hundred three million, two hundred sixty-four thousand, eight hundred twenty-one".