103544241440 has 48 divisors (see below), whose sum is σ = 244689734520. Its totient is φ = 41406443520.

The previous prime is 103544241419. The next prime is 103544241509. The reversal of 103544241440 is 44142445301.

It can be written as a sum of positive squares in 4 ways, for example, as 97176839824 + 6367401616 = 311732^2 + 79796^2 .

It is a super-3 number, since 3×103544241440³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 103544241397 and 103544241406.

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, 515726 + ... + 687794.

Almost surely, 2^103544241440 is an apocalyptic number.

103544241440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103544241440 is an abundant number, since it is smaller than the sum of its proper divisors (141145493080).

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

103544241440 is a wasteful number, since it uses less digits than its factorization.

103544241440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175845 (or 175837 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

Adding to 103544241440 its reverse (44142445301), we get a palindrome (147686686741).

The spelling of 103544241440 in words is "one hundred three billion, five hundred forty-four million, two hundred forty-one thousand, four hundred forty".