105536512 has 44 divisors (see below), whose sum is σ = 220191696. Its totient is φ = 50462720.

The previous prime is 105536471. The next prime is 105536531. The reversal of 105536512 is 215635501.

It is a super-3 number, since 3×105536512³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21312 + ... + 25792.

Almost surely, 2^105536512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105536512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110095848).

105536512 is an abundant number, since it is smaller than the sum of its proper divisors (114655184).

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

105536512 is an equidigital number, since it uses as much as digits as its factorization.

105536512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4524 (or 4506 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 28.

The square root of 105536512 is about 10273.0965146834. The cubic root of 105536512 is about 472.5715569612.

The spelling of 105536512 in words is "one hundred five million, five hundred thirty-six thousand, five hundred twelve".