133005105 has 32 divisors (see below), whose sum is σ = 237208320. Its totient is φ = 70709760.

The previous prime is 133005091. The next prime is 133005109. The reversal of 133005105 is 501500331.

It is a happy number.

It is not a de Polignac number, because 133005105 - 2⁹ = 133004593 is a prime.

It is a super-2 number, since 2×133005105² = 35380715912122050, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (133005109) 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 in 31 ways as a sum of consecutive naturals, for example, 46260 + ... + 49050.

It is an arithmetic number, because the mean of its divisors is an integer number (7412760).

Almost surely, 2^133005105 is an apocalyptic number.

133005105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

133005105 is a deficient number, since it is larger than the sum of its proper divisors (104203215).

133005105 is a wasteful number, since it uses less digits than its factorization.

133005105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3158 (or 3152 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 133005105 is about 11532.7839223667. The cubic root of 133005105 is about 510.4534030221.

Adding to 133005105 its reverse (501500331), we get a palindrome (634505436).

The spelling of 133005105 in words is "one hundred thirty-three million, five thousand, one hundred five".