105133612266341 has 2 divisors, whose sum is σ = 105133612266342. Its totient is φ = 105133612266340.

The previous prime is 105133612266227. The next prime is 105133612266379. The reversal of 105133612266341 is 143662216331501.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77850446424100 + 27283165842241 = 8823290^2 + 5223329^2 .

It is a cyclic number.

It is not a de Polignac number, because 105133612266341 - 2¹⁰ = 105133612265317 is a prime.

It is a super-2 number, since 2×105133612266341² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105133612266292 and 105133612266301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105133612256341) 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, 52566806133170 + 52566806133171.

It is an arithmetic number, because the mean of its divisors is an integer number (52566806133171).

Almost surely, 2^{105133612266341} is an apocalyptic number.

It is an amenable number.

105133612266341 is a deficient number, since it is larger than the sum of its proper divisors (1).

105133612266341 is an equidigital number, since it uses as much as digits as its factorization.

105133612266341 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 466560, while the sum is 44.

Adding to 105133612266341 its reverse (143662216331501), we get a palindrome (248795828597842).

The spelling of 105133612266341 in words is "one hundred five trillion, one hundred thirty-three billion, six hundred twelve million, two hundred sixty-six thousand, three hundred forty-one".