105120340331 has 2 divisors, whose sum is σ = 105120340332. Its totient is φ = 105120340330.

The previous prime is 105120340321. The next prime is 105120340333. The reversal of 105120340331 is 133043021501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105120340331 - 2⁶ = 105120340267 is a prime.

It is a super-2 number, since 2×105120340331² (a number of 23 digits) contains 22 as substring.

Together with 105120340333, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 105120340297 and 105120340306.

It is not a weakly prime, because it can be changed into another prime (105120340333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52560170165 + 52560170166.

It is an arithmetic number, because the mean of its divisors is an integer number (52560170166).

Almost surely, 2^105120340331 is an apocalyptic number.

105120340331 is a deficient number, since it is larger than the sum of its proper divisors (1).

105120340331 is an equidigital number, since it uses as much as digits as its factorization.

105120340331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1080, while the sum is 23.

Adding to 105120340331 its reverse (133043021501), we get a palindrome (238163361832).

The spelling of 105120340331 in words is "one hundred five billion, one hundred twenty million, three hundred forty thousand, three hundred thirty-one".