105873133 has 2 divisors, whose sum is σ = 105873134. Its totient is φ = 105873132.

The previous prime is 105873101. The next prime is 105873137. The reversal of 105873133 is 331378501.

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., 94128804 + 11744329 = 9702^2 + 3427^2 .

It is a cyclic number.

It is not a de Polignac number, because 105873133 - 2⁵ = 105873101 is a prime.

It is a super-2 number, since 2×105873133² = 22418240582471378, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105873095 and 105873104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105873137) 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, 52936566 + 52936567.

It is an arithmetic number, because the mean of its divisors is an integer number (52936567).

Almost surely, 2^105873133 is an apocalyptic number.

It is an amenable number.

105873133 is a deficient number, since it is larger than the sum of its proper divisors (1).

105873133 is an equidigital number, since it uses as much as digits as its factorization.

105873133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 105873133 is about 10289.4670901850. The cubic root of 105873133 is about 473.0734643866.

The spelling of 105873133 in words is "one hundred five million, eight hundred seventy-three thousand, one hundred thirty-three".