105000133 has 8 divisors (see below), whose sum is σ = 120124800. Its totient is φ = 89906640.

The previous prime is 105000127. The next prime is 105000163. The reversal of 105000133 is 331000501.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105000133 is a prime.

It is a super-2 number, since 2×105000133² = 22050055860035378, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105000163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58 + ... + 14491.

It is an arithmetic number, because the mean of its divisors is an integer number (15015600).

Almost surely, 2^105000133 is an apocalyptic number.

It is an amenable number.

105000133 is a deficient number, since it is larger than the sum of its proper divisors (15124667).

105000133 is a wasteful number, since it uses less digits than its factorization.

105000133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15587.

The product of its (nonzero) digits is 45, while the sum is 13.

The square root of 105000133 is about 10246.9572556930. The cubic root of 105000133 is about 471.7695972231.

Adding to 105000133 its reverse (331000501), we get a palindrome (436000634).

The spelling of 105000133 in words is "one hundred five million, one hundred thirty-three", and thus it is an aban number.