103363814400 has 1188 divisors, whose sum is σ = 438733575504. Its totient is φ = 21383577600.

The previous prime is 103363814387. The next prime is 103363814513. The reversal of 103363814400 is 4418363301.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 455347087 + ... + 455347313.

Almost surely, 2^103363814400 is an apocalyptic number.

103363814400 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 103363814400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219366787752).

103363814400 is an abundant number, since it is smaller than the sum of its proper divisors (335369761104).

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

103363814400 is a wasteful number, since it uses less digits than its factorization.

103363814400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 103363814400 in words is "one hundred three billion, three hundred sixty-three million, eight hundred fourteen thousand, four hundred".