105133288 has 16 divisors (see below), whose sum is σ = 212288580. Its totient is φ = 48523008.

The previous prime is 105133283. The next prime is 105133309. The reversal of 105133288 is 882331501.

It can be written as a sum of positive squares in 2 ways, for example, as 96000804 + 9132484 = 9798^2 + 3022^2 .

It is a super-4 number, since 4×105133288⁴ (a number of 33 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (105133283) 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 3 ways as a sum of consecutive naturals, for example, 505345 + ... + 505552.

Almost surely, 2^105133288 is an apocalyptic number.

It is an amenable number.

105133288 is an abundant number, since it is smaller than the sum of its proper divisors (107155292).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105133288 is a wasteful number, since it uses less digits than its factorization.

105133288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010916 (or 1010912 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 105133288 is about 10253.4524917220. The cubic root of 105133288 is about 471.9689364791.

Adding to 105133288 its reverse (882331501), we get a palindrome (987464789).

The spelling of 105133288 in words is "one hundred five million, one hundred thirty-three thousand, two hundred eighty-eight".