105405121 has 2 divisors, whose sum is σ = 105405122. Its totient is φ = 105405120.

The previous prime is 105405107. The next prime is 105405149. The reversal of 105405121 is 121504501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 79852096 + 25553025 = 8936^2 + 5055^2 .

It is a cyclic number.

It is not a de Polignac number, because 105405121 - 2¹⁷ = 105274049 is a prime.

It is a super-2 number, since 2×105405121² = 22220479066049282, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105405101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52702560 + 52702561.

It is an arithmetic number, because the mean of its divisors is an integer number (52702561).

Almost surely, 2^105405121 is an apocalyptic number.

It is an amenable number.

105405121 is a deficient number, since it is larger than the sum of its proper divisors (1).

105405121 is an equidigital number, since it uses as much as digits as its factorization.

105405121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 200, while the sum is 19.

The square root of 105405121 is about 10266.6996157480. The cubic root of 105405121 is about 472.3753612442.

Adding to 105405121 its reverse (121504501), we get a palindrome (226909622).

The spelling of 105405121 in words is "one hundred five million, four hundred five thousand, one hundred twenty-one".