103731634314 has 384 divisors, whose sum is σ = 311089766400. Its totient is φ = 24987916800.

The previous prime is 103731634289. The next prime is 103731634351. The reversal of 103731634314 is 413436137301.

103731634314 is a `hidden beast` number, since 1 + 0 + 3 + 7 + 3 + 1 + 634 + 3 + 14 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 55204827 + ... + 55206705.

It is an arithmetic number, because the mean of its divisors is an integer number (810129600).

Almost surely, 2^103731634314 is an apocalyptic number.

103731634314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103731634314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155544883200).

103731634314 is an abundant number, since it is smaller than the sum of its proper divisors (207358132086).

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

103731634314 is a wasteful number, since it uses less digits than its factorization.

103731634314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2007 (or 1990 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 103731634314 in words is "one hundred three billion, seven hundred thirty-one million, six hundred thirty-four thousand, three hundred fourteen".