105205027240 has 32 divisors (see below), whose sum is σ = 244873773000. Its totient is φ = 40630906624.

The previous prime is 105205027223. The next prime is 105205027253. The reversal of 105205027240 is 42720502501.

It can be written as a sum of positive squares in 4 ways, for example, as 47732636484 + 57472390756 = 218478^2 + 239734^2 .

It is a super-2 number, since 2×105205027240² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105205027199 and 105205027208.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 45345835 + ... + 45348154.

Almost surely, 2^105205027240 is an apocalyptic number.

105205027240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105205027240 is an abundant number, since it is smaller than the sum of its proper divisors (139668745760).

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

105205027240 is a wasteful number, since it uses less digits than its factorization.

105205027240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90694029 (or 90694025 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 28.

Adding to 105205027240 its reverse (42720502501), we get a palindrome (147925529741).

The spelling of 105205027240 in words is "one hundred five billion, two hundred five million, twenty-seven thousand, two hundred forty".