105133311 has 12 divisors (see below), whose sum is σ = 152739288. Its totient is φ = 69682704.

The previous prime is 105133309. The next prime is 105133319. The reversal of 105133311 is 113331501.

It is not a de Polignac number, because 105133311 - 2¹ = 105133309 is a prime.

It is a super-2 number, since 2×105133311² = 22106026163645442, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105133319) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32205 + ... + 35318.

It is an arithmetic number, because the mean of its divisors is an integer number (12728274).

Almost surely, 2^105133311 is an apocalyptic number.

105133311 is a deficient number, since it is larger than the sum of its proper divisors (47605977).

105133311 is a wasteful number, since it uses less digits than its factorization.

105133311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67702 (or 67699 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 105133311 is about 10253.4536132954. The cubic root of 105133311 is about 471.9689708966.

Adding to 105133311 its reverse (113331501), we get a palindrome (218464812).

It can be divided in two parts, 10513 and 3311, that added together give a cube (13824 = 24³).

The spelling of 105133311 in words is "one hundred five million, one hundred thirty-three thousand, three hundred eleven".