105114133 has 2 divisors, whose sum is σ = 105114134. Its totient is φ = 105114132.

The previous prime is 105114131. The next prime is 105114143. The reversal of 105114133 is 331411501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93837969 + 11276164 = 9687^2 + 3358^2 .

It is a cyclic number.

It is not a de Polignac number, because 105114133 - 2¹ = 105114131 is a prime.

It is a super-2 number, since 2×105114133² = 22097961912683378, which contains 22 as substring.

Together with 105114131, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 105114133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105114131) 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, 52557066 + 52557067.

It is an arithmetic number, because the mean of its divisors is an integer number (52557067).

Almost surely, 2^105114133 is an apocalyptic number.

It is an amenable number.

105114133 is a deficient number, since it is larger than the sum of its proper divisors (1).

105114133 is an equidigital number, since it uses as much as digits as its factorization.

105114133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 105114133 is about 10252.5183735510. The cubic root of 105114133 is about 471.9402709179.

Adding to 105114133 its reverse (331411501), we get a palindrome (436525634).

The spelling of 105114133 in words is "one hundred five million, one hundred fourteen thousand, one hundred thirty-three".