105005244240 has 200 divisors, whose sum is σ = 392752836168. Its totient is φ = 25847424000.

The previous prime is 105005244209. The next prime is 105005244247. The reversal of 105005244240 is 42442500501.

105005244240 is a `hidden beast` number, since 10 + 50 + 0 + 524 + 42 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6052217616 + 98953026624 = 77796^2 + 314568^2 .

It is a super-2 number, since 2×105005244240² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105005244247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 539011 + ... + 707490.

Almost surely, 2^105005244240 is an apocalyptic number.

105005244240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105005244240 is an abundant number, since it is smaller than the sum of its proper divisors (287747591928).

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

105005244240 is a wasteful number, since it uses less digits than its factorization.

105005244240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246539 (or 1246524 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 105005244240 its reverse (42442500501), we get a palindrome (147447744741).

The spelling of 105005244240 in words is "one hundred five billion, five million, two hundred forty-four thousand, two hundred forty".