103114350514296 has 640 divisors, whose sum is σ = 326717630300160. Its totient is φ = 30113317382400.

The previous prime is 103114350514289. The next prime is 103114350514313. The reversal of 103114350514296 is 692415053411301.

103114350514296 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 1 + 4 + 350 + 5 + 1 + 4 + 296 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 23001191271 + ... + 23001195753.

It is an arithmetic number, because the mean of its divisors is an integer number (510496297344).

Almost surely, 2^{103114350514296} 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 103114350514296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163358815150080).

103114350514296 is an abundant number, since it is smaller than the sum of its proper divisors (223603279785864).

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

103114350514296 is a wasteful number, since it uses less digits than its factorization.

103114350514296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5597 (or 5584 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 103114350514296 in words is "one hundred three trillion, one hundred fourteen billion, three hundred fifty million, five hundred fourteen thousand, two hundred ninety-six".