105346121 has 2 divisors, whose sum is σ = 105346122. Its totient is φ = 105346120.

The previous prime is 105346069. The next prime is 105346123. The reversal of 105346121 is 121643501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104264521 + 1081600 = 10211^2 + 1040^2 .

It is a cyclic number.

It is not a de Polignac number, because 105346121 - 2¹⁸ = 105083977 is a prime.

It is a super-2 number, since 2×105346121² = 22195610419493282, which contains 22 as substring.

Together with 105346123, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105346123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52673060 + 52673061.

It is an arithmetic number, because the mean of its divisors is an integer number (52673061).

Almost surely, 2^105346121 is an apocalyptic number.

It is an amenable number.

105346121 is a deficient number, since it is larger than the sum of its proper divisors (1).

105346121 is an equidigital number, since it uses as much as digits as its factorization.

105346121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 105346121 is about 10263.8258461453. The cubic root of 105346121 is about 472.2872081965.

Adding to 105346121 its reverse (121643501), we get a palindrome (226989622).

It can be divided in two parts, 1053 and 46121, that added together give a palindrome (47174).

The spelling of 105346121 in words is "one hundred five million, three hundred forty-six thousand, one hundred twenty-one".