103540026913444 has 243 divisors, whose sum is σ = 211967942575753. Its totient is φ = 44218487667200.

The previous prime is 103540026913439. The next prime is 103540026913481. The reversal of 103540026913444 is 444319620045301.

It is a happy number.

The square root of 103540026913444 is 10175462.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 103431706939044 + 108319974400 = 10170138^2 + 329120^2 .

It is a super-3 number, since 3×103540026913444³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 103540026913394 and 103540026913403.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 266169734802 + ... + 266169735190.

Almost surely, 2^{103540026913444} is an apocalyptic number.

103540026913444 is the 10175462-nd square number.

It is an amenable number.

103540026913444 is an abundant number, since it is smaller than the sum of its proper divisors (108427915662309).

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

103540026913444 is an equidigital number, since it uses as much as digits as its factorization.

103540026913444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 46.

Adding to 103540026913444 its reverse (444319620045301), we get a palindrome (547859646958745).

The spelling of 103540026913444 in words is "one hundred three trillion, five hundred forty billion, twenty-six million, nine hundred thirteen thousand, four hundred forty-four".