105333121 has 2 divisors, whose sum is σ = 105333122. Its totient is φ = 105333120.

The previous prime is 105333119. The next prime is 105333127. The reversal of 105333121 is 121333501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 85655025 + 19678096 = 9255^2 + 4436^2 .

It is an emirp because it is prime and its reverse (121333501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105333121 - 2¹ = 105333119 is a prime.

It is a super-2 number, since 2×105333121² = 22190132759201282, which contains 22 as substring.

Together with 105333119, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (105333127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52666560 + 52666561.

It is an arithmetic number, because the mean of its divisors is an integer number (52666561).

Almost surely, 2^105333121 is an apocalyptic number.

It is an amenable number.

105333121 is a deficient number, since it is larger than the sum of its proper divisors (1).

105333121 is an equidigital number, since it uses as much as digits as its factorization.

105333121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 270, while the sum is 19.

The square root of 105333121 is about 10263.1925344895. The cubic root of 105333121 is about 472.2677802187.

Adding to 105333121 its reverse (121333501), we get a palindrome (226666622).

The spelling of 105333121 in words is "one hundred five million, three hundred thirty-three thousand, one hundred twenty-one".