105636260525801 has 2 divisors, whose sum is σ = 105636260525802. Its totient is φ = 105636260525800.

The previous prime is 105636260525759. The next prime is 105636260525839. The reversal of 105636260525801 is 108525062636501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97118758363225 + 8517502162576 = 9854885^2 + 2918476^2 .

It is a cyclic number.

It is not a de Polignac number, because 105636260525801 - 2¹⁸ = 105636260263657 is a prime.

It is a super-2 number, since 2×105636260525801² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105636260525801.

It is not a weakly prime, because it can be changed into another prime (105636260525101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52818130262900 + 52818130262901.

It is an arithmetic number, because the mean of its divisors is an integer number (52818130262901).

Almost surely, 2^{105636260525801} is an apocalyptic number.

It is an amenable number.

105636260525801 is a deficient number, since it is larger than the sum of its proper divisors (1).

105636260525801 is an equidigital number, since it uses as much as digits as its factorization.

105636260525801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592000, while the sum is 50.

The spelling of 105636260525801 in words is "one hundred five trillion, six hundred thirty-six billion, two hundred sixty million, five hundred twenty-five thousand, eight hundred one".