103514314754400 has 576 divisors, whose sum is σ = 369497981615616. Its totient is φ = 24963047424000.

The previous prime is 103514314754377. The next prime is 103514314754413. The reversal of 103514314754400 is 4457413415301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4614365584 + ... + 4614388016.

It is an arithmetic number, because the mean of its divisors is an integer number (641489551416).

Almost surely, 2^{103514314754400} is an apocalyptic number.

103514314754400 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 103514314754400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184748990807808).

103514314754400 is an abundant number, since it is smaller than the sum of its proper divisors (265983666861216).

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

103514314754400 is a wasteful number, since it uses less digits than its factorization.

103514314754400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23375 (or 23362 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The spelling of 103514314754400 in words is "one hundred three trillion, five hundred fourteen billion, three hundred fourteen million, seven hundred fifty-four thousand, four hundred".