105065133 has 8 divisors (see below), whose sum is σ = 142730208. Its totient is φ = 68721744.

The previous prime is 105065111. The next prime is 105065137. The reversal of 105065133 is 331560501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105065133 - 2¹⁰ = 105064109 is a prime.

It is a super-2 number, since 2×105065133² = 22077364344615378, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105065137) 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 in 7 ways as a sum of consecutive naturals, for example, 330235 + ... + 330552.

It is an arithmetic number, because the mean of its divisors is an integer number (17841276).

Almost surely, 2^105065133 is an apocalyptic number.

It is an amenable number.

105065133 is a deficient number, since it is larger than the sum of its proper divisors (37665075).

105065133 is an equidigital number, since it uses as much as digits as its factorization.

105065133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660843.

The product of its (nonzero) digits is 1350, while the sum is 24.

The square root of 105065133 is about 10250.1284382197. The cubic root of 105065133 is about 471.8669263008.

The spelling of 105065133 in words is "one hundred five million, sixty-five thousand, one hundred thirty-three".