105536320 has 28 divisors (see below), whose sum is σ = 251309124. Its totient is φ = 42214400.

The previous prime is 105536297. The next prime is 105536407. The reversal of 105536320 is 23635501.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 42302016 + 63234304 = 6504^2 + 7952^2 .

It is a super-2 number, since 2×105536320² = 22275829678284800, which contains 22 as substring.

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, 164581 + ... + 165220.

Almost surely, 2^105536320 is an apocalyptic number.

105536320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105536320 is an abundant number, since it is smaller than the sum of its proper divisors (145772804).

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

105536320 is an equidigital number, since it uses as much as digits as its factorization.

105536320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329818 (or 329808 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 25.

The square root of 105536320 is about 10273.0871698823. The cubic root of 105536320 is about 472.5712703817.

The spelling of 105536320 in words is "one hundred five million, five hundred thirty-six thousand, three hundred twenty".