105144522133523 has 2 divisors, whose sum is σ = 105144522133524. Its totient is φ = 105144522133522.

The previous prime is 105144522133477. The next prime is 105144522133529. The reversal of 105144522133523 is 325331225441501.

It is a strong prime.

It is an emirp because it is prime and its reverse (325331225441501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105144522133523 - 2⁶ = 105144522133459 is a prime.

It is a super-2 number, since 2×105144522133523² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105144522133529) 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, 52572261066761 + 52572261066762.

It is an arithmetic number, because the mean of its divisors is an integer number (52572261066762).

Almost surely, 2^{105144522133523} is an apocalyptic number.

105144522133523 is a deficient number, since it is larger than the sum of its proper divisors (1).

105144522133523 is an equidigital number, since it uses as much as digits as its factorization.

105144522133523 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432000, while the sum is 41.

The spelling of 105144522133523 in words is "one hundred five trillion, one hundred forty-four billion, five hundred twenty-two million, one hundred thirty-three thousand, five hundred twenty-three".