105627133 has 2 divisors, whose sum is σ = 105627134. Its totient is φ = 105627132.

The previous prime is 105627127. The next prime is 105627157. The reversal of 105627133 is 331726501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 105616729 + 10404 = 10277^2 + 102^2 .

It is an emirp because it is prime and its reverse (331726501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105627133 - 2⁵ = 105627101 is a prime.

It is a super-2 number, since 2×105627133² = 22314182451599378, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105627833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52813566 + 52813567.

It is an arithmetic number, because the mean of its divisors is an integer number (52813567).

Almost surely, 2^105627133 is an apocalyptic number.

It is an amenable number.

105627133 is a deficient number, since it is larger than the sum of its proper divisors (1).

105627133 is an equidigital number, since it uses as much as digits as its factorization.

105627133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 105627133 is about 10277.5061663810. The cubic root of 105627133 is about 472.7067792163.

The spelling of 105627133 in words is "one hundred five million, six hundred twenty-seven thousand, one hundred thirty-three".