105636560 has 40 divisors (see below), whose sum is σ = 254079720. Its totient is φ = 40796672.

The previous prime is 105636547. The next prime is 105636577. The reversal of 105636560 is 65636501.

It can be written as a sum of positive squares in 4 ways, for example, as 11235904 + 94400656 = 3352^2 + 9716^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×105636560² = 22318165617267200, 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 (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20447 + ... + 25086.

It is an arithmetic number, because the mean of its divisors is an integer number (6351993).

Almost surely, 2^105636560 is an apocalyptic number.

105636560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105636560 is an abundant number, since it is smaller than the sum of its proper divisors (148443160).

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

105636560 is a wasteful number, since it uses less digits than its factorization.

105636560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45575 (or 45569 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 32.

The square root of 105636560 is about 10277.9647790796. The cubic root of 105636560 is about 472.7208414940.

The spelling of 105636560 in words is "one hundred five million, six hundred thirty-six thousand, five hundred sixty".