105236560 has 80 divisors (see below), whose sum is σ = 287481600. Its totient is φ = 35320320.

The previous prime is 105236539. The next prime is 105236567. The reversal of 105236560 is 65632501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×105236560² = 22149467121267200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105236567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6841 + ... + 16039.

It is an arithmetic number, because the mean of its divisors is an integer number (3593520).

Almost surely, 2^105236560 is an apocalyptic number.

105236560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105236560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143740800).

105236560 is an abundant number, since it is smaller than the sum of its proper divisors (182245040).

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

105236560 is a wasteful number, since it uses less digits than its factorization.

105236560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9236 (or 9230 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

The square root of 105236560 is about 10258.4872179089. The cubic root of 105236560 is about 472.1234236265.

The spelling of 105236560 in words is "one hundred five million, two hundred thirty-six thousand, five hundred sixty".