105055243540 has 36 divisors (see below), whose sum is σ = 238891901724. Its totient is φ = 38789627136.

The previous prime is 105055243499. The next prime is 105055243547. The reversal of 105055243540 is 45342550501.

105055243540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 967707664 + 104087535876 = 31108^2 + 322626^2 .

It is a super-2 number, since 2×105055243540² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 105055243496 and 105055243505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105055243547) 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 11 ways as a sum of consecutive naturals, for example, 15537337 + ... + 15544096.

It is an arithmetic number, because the mean of its divisors is an integer number (6635886159).

Almost surely, 2^105055243540 is an apocalyptic number.

105055243540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105055243540 is an abundant number, since it is smaller than the sum of its proper divisors (133836658184).

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

105055243540 is a wasteful number, since it uses less digits than its factorization.

105055243540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31081468 (or 31081453 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 34.

The spelling of 105055243540 in words is "one hundred five billion, fifty-five million, two hundred forty-three thousand, five hundred forty".