103353456400 has 180 divisors, whose sum is σ = 264847371600. Its totient is φ = 38652007680.

The previous prime is 103353456389. The next prime is 103353456421. The reversal of 103353456400 is 4654353301.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 47430511 + ... + 47432689.

Almost surely, 2^103353456400 is an apocalyptic number.

103353456400 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 103353456400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132423685800).

103353456400 is an abundant number, since it is smaller than the sum of its proper divisors (161493915200).

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

103353456400 is a wasteful number, since it uses less digits than its factorization.

103353456400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2374 (or 2284 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 34.

The spelling of 103353456400 in words is "one hundred three billion, three hundred fifty-three million, four hundred fifty-six thousand, four hundred".