105555133 has 2 divisors, whose sum is σ = 105555134. Its totient is φ = 105555132.

The previous prime is 105555113. The next prime is 105555143. The reversal of 105555133 is 331555501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82773604 + 22781529 = 9098^2 + 4773^2 .

It is an emirp because it is prime and its reverse (331555501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105555133 - 2⁵ = 105555101 is a prime.

It is a super-2 number, since 2×105555133² = 22283772205295378, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105555103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52777566 + 52777567.

It is an arithmetic number, because the mean of its divisors is an integer number (52777567).

Almost surely, 2^105555133 is an apocalyptic number.

It is an amenable number.

105555133 is a deficient number, since it is larger than the sum of its proper divisors (1).

105555133 is an equidigital number, since it uses as much as digits as its factorization.

105555133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5625, while the sum is 28.

The square root of 105555133 is about 10274.0027739922. The cubic root of 105555133 is about 472.5993490409.

The spelling of 105555133 in words is "one hundred five million, five hundred fifty-five thousand, one hundred thirty-three".