105434121241 has 2 divisors, whose sum is σ = 105434121242. Its totient is φ = 105434121240.

The previous prime is 105434121239. The next prime is 105434121257. The reversal of 105434121241 is 142121434501.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99146265625 + 6287855616 = 314875^2 + 79296^2 .

It is a cyclic number.

It is not a de Polignac number, because 105434121241 - 2¹ = 105434121239 is a prime.

It is a super-2 number, since 2×105434121241² (a number of 23 digits) contains 22 as substring.

Together with 105434121239, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (105434191241) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52717060620 + 52717060621.

It is an arithmetic number, because the mean of its divisors is an integer number (52717060621).

Almost surely, 2^105434121241 is an apocalyptic number.

It is an amenable number.

105434121241 is a deficient number, since it is larger than the sum of its proper divisors (1).

105434121241 is an equidigital number, since it uses as much as digits as its factorization.

105434121241 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3840, while the sum is 28.

Adding to 105434121241 its reverse (142121434501), we get a palindrome (247555555742).

The spelling of 105434121241 in words is "one hundred five billion, four hundred thirty-four million, one hundred twenty-one thousand, two hundred forty-one".