105336128 has 28 divisors (see below), whose sum is σ = 211386420. Its totient is φ = 52073472.

The previous prime is 105336103. The next prime is 105336139. The reversal of 105336128 is 821633501.

It can be written as a sum of positive squares in 2 ways, for example, as 30824704 + 74511424 = 5552^2 + 8632^2 .

It is a super-2 number, since 2×105336128² = 22191399724064768, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105336128.

It is a congruent number.

It is an unprimeable number.

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, 3551 + ... + 14942.

It is an arithmetic number, because the mean of its divisors is an integer number (7549515).

Almost surely, 2^105336128 is an apocalyptic number.

It is an amenable number.

105336128 is an abundant number, since it is smaller than the sum of its proper divisors (106050292).

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

105336128 is an equidigital number, since it uses as much as digits as its factorization.

105336128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18594 (or 18584 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 105336128 is about 10263.3390278213. The cubic root of 105336128 is about 472.2722742015.

Adding to 105336128 its reverse (821633501), we get a palindrome (926969629).

It can be divided in two parts, 10533 and 6128, that added together give a palindrome (16661).

The spelling of 105336128 in words is "one hundred five million, three hundred thirty-six thousand, one hundred twenty-eight".