105646133 has 2 divisors, whose sum is σ = 105646134. Its totient is φ = 105646132.

The previous prime is 105646097. The next prime is 105646157. The reversal of 105646133 is 331646501.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101143249 + 4502884 = 10057^2 + 2122^2 .

It is a cyclic number.

It is not a de Polignac number, because 105646133 - 2²⁶ = 38537269 is a prime.

It is a super-2 number, since 2×105646133² = 22322210835707378, which contains 22 as substring.

It is equal to p_6067631 and since 105646133 and 6067631 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 105646096 and 105646105.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105646033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52823066 + 52823067.

It is an arithmetic number, because the mean of its divisors is an integer number (52823067).

Almost surely, 2^105646133 is an apocalyptic number.

It is an amenable number.

105646133 is a deficient number, since it is larger than the sum of its proper divisors (1).

105646133 is an equidigital number, since it uses as much as digits as its factorization.

105646133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 105646133 is about 10278.4304735694. The cubic root of 105646133 is about 472.7351207042.

The spelling of 105646133 in words is "one hundred five million, six hundred forty-six thousand, one hundred thirty-three".