243122103540 has 144 divisors (see below), whose sum is σ = 745793180496. Its totient is φ = 64102656000.

The previous prime is 243122103527. The next prime is 243122103551. The reversal of 243122103540 is 45301221342.

243122103540 is a `hidden beast` number, since 2 + 4 + 3 + 12 + 2 + 103 + 540 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 449609616 + 242672493924 = 21204^2 + 492618^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13826194 + ... + 13843766.

It is an arithmetic number, because the mean of its divisors is an integer number (5179119309).

Almost surely, 2^243122103540 is an apocalyptic number.

243122103540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243122103540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372896590248).

243122103540 is an abundant number, since it is smaller than the sum of its proper divisors (502671076956).

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

243122103540 is a wasteful number, since it uses less digits than its factorization.

243122103540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18450 (or 18445 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 243122103540 its reverse (45301221342), we get a palindrome (288423324882).

The spelling of 243122103540 in words is "two hundred forty-three billion, one hundred twenty-two million, one hundred three thousand, five hundred forty".