103727371440 has 320 divisors, whose sum is σ = 413834084352. Its totient is φ = 20858342400.

The previous prime is 103727371439. The next prime is 103727371453. The reversal of 103727371440 is 44173727301.

It is a happy number.

103727371440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 482349 + ... + 663411.

Almost surely, 2^103727371440 is an apocalyptic number.

103727371440 is a gapful number since it is divisible by the number (10) 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 103727371440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206917042176).

103727371440 is an abundant number, since it is smaller than the sum of its proper divisors (310106712912).

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

103727371440 is a wasteful number, since it uses less digits than its factorization.

103727371440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181128 (or 181122 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 39.

The spelling of 103727371440 in words is "one hundred three billion, seven hundred twenty-seven million, three hundred seventy-one thousand, four hundred forty".