103355014641216 has 224 divisors, whose sum is σ = 302065887916800. Its totient is φ = 30992101810176.

The previous prime is 103355014641157. The next prime is 103355014641283. The reversal of 103355014641216 is 612146410553301.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17089141 + ... + 22332683.

It is an arithmetic number, because the mean of its divisors is an integer number (1348508428200).

Almost surely, 2^{103355014641216} is an apocalyptic number.

103355014641216 is a gapful number since it is divisible by the number (16) 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 103355014641216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151032943958400).

103355014641216 is an abundant number, since it is smaller than the sum of its proper divisors (198710873275584).

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

103355014641216 is a wasteful number, since it uses less digits than its factorization.

103355014641216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5243773 (or 5243763 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 103355014641216 in words is "one hundred three trillion, three hundred fifty-five billion, fourteen million, six hundred forty-one thousand, two hundred sixteen".