105504038378201 has 2 divisors, whose sum is σ = 105504038378202. Its totient is φ = 105504038378200.

The previous prime is 105504038378197. The next prime is 105504038378213. The reversal of 105504038378201 is 102873830405501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 62144763408025 + 43359274970176 = 7883195^2 + 6584776^2 .

It is a cyclic number.

It is not a de Polignac number, because 105504038378201 - 2² = 105504038378197 is a prime.

It is a super-2 number, since 2×105504038378201² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105504038375201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52752019189100 + 52752019189101.

It is an arithmetic number, because the mean of its divisors is an integer number (52752019189101).

Almost surely, 2^{105504038378201} is an apocalyptic number.

It is an amenable number.

105504038378201 is a deficient number, since it is larger than the sum of its proper divisors (1).

105504038378201 is an equidigital number, since it uses as much as digits as its factorization.

105504038378201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 806400, while the sum is 47.

The spelling of 105504038378201 in words is "one hundred five trillion, five hundred four billion, thirty-eight million, three hundred seventy-eight thousand, two hundred one".