103987435129344 has 1440 divisors, whose sum is σ = 347914487880960. Its totient is φ = 30840652136448.

The previous prime is 103987435129223. The next prime is 103987435129427. The reversal of 103987435129344 is 443921534789301.

103987435129344 is a `hidden beast` number, since 1 + 0 + 3 + 9 + 8 + 74 + 3 + 512 + 9 + 3 + 44 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 224594892057 + ... + 224594892519.

Almost surely, 2^{103987435129344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103987435129344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173957243940480).

103987435129344 is an abundant number, since it is smaller than the sum of its proper divisors (243927052751616).

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

103987435129344 is an frugal number, since it uses more digits than its factorization.

103987435129344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 103987435129344 in words is "one hundred three trillion, nine hundred eighty-seven billion, four hundred thirty-five million, one hundred twenty-nine thousand, three hundred forty-four".