105710133 has 16 divisors (see below), whose sum is σ = 148204800. Its totient is φ = 66924480.

The previous prime is 105710119. The next prime is 105710149. The reversal of 105710133 is 331017501.

It is not a de Polignac number, because 105710133 - 2¹⁶ = 105644597 is a prime.

It is a super-2 number, since 2×105710133² = 22349264437755378, 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 (105710173) 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 15 ways as a sum of consecutive naturals, for example, 4653 + ... + 15266.

It is an arithmetic number, because the mean of its divisors is an integer number (9262800).

Almost surely, 2^105710133 is an apocalyptic number.

It is an amenable number.

105710133 is a deficient number, since it is larger than the sum of its proper divisors (42494667).

105710133 is a wasteful number, since it uses less digits than its factorization.

105710133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20012.

The product of its (nonzero) digits is 315, while the sum is 21.

The square root of 105710133 is about 10281.5433180044. The cubic root of 105710133 is about 472.8305617754.

Adding to 105710133 its reverse (331017501), we get a palindrome (436727634).

The spelling of 105710133 in words is "one hundred five million, seven hundred ten thousand, one hundred thirty-three".