103663341788160 has 3168 divisors, whose sum is σ = 444495957405696. Its totient is φ = 20519151206400.

The previous prime is 103663341788147. The next prime is 103663341788179. The reversal of 103663341788160 is 61887143366301.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 103663341788160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 206090142469 + ... + 206090142971.

Almost surely, 2^{103663341788160} is an apocalyptic number.

103663341788160 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 103663341788160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222247978702848).

103663341788160 is an abundant number, since it is smaller than the sum of its proper divisors (340832615617536).

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

103663341788160 is a wasteful number, since it uses less digits than its factorization.

103663341788160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 57.

The spelling of 103663341788160 in words is "one hundred three trillion, six hundred sixty-three billion, three hundred forty-one million, seven hundred eighty-eight thousand, one hundred sixty".