105268643560 has 16 divisors (see below), whose sum is σ = 236854448100. Its totient is φ = 42107457408.

The previous prime is 105268643479. The next prime is 105268643561. The reversal of 105268643560 is 65346862501.

It can be written as a sum of positive squares in 2 ways, for example, as 98429022756 + 6839620804 = 313734^2 + 82702^2 .

It is a super-2 number, since 2×105268643560² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105268643560.

It is not an unprimeable number, because it can be changed into a prime (105268643561) by changing a digit.

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, 1315858005 + ... + 1315858084.

Almost surely, 2^105268643560 is an apocalyptic number.

105268643560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105268643560 is an abundant number, since it is smaller than the sum of its proper divisors (131585804540).

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

105268643560 is a wasteful number, since it uses less digits than its factorization.

105268643560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2631716100 (or 2631716096 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 46.

The spelling of 105268643560 in words is "one hundred five billion, two hundred sixty-eight million, six hundred forty-three thousand, five hundred sixty".