104503348800 has 840 divisors, whose sum is σ = 397870070400. Its totient is φ = 26892103680.

The previous prime is 104503348759. The next prime is 104503348801. The reversal of 104503348800 is 8843305401.

104503348800 is a `hidden beast` number, since 104 + 503 + 3 + 48 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×104503348800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (104503348801) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 604065514 + ... + 604065686.

Almost surely, 2^104503348800 is an apocalyptic number.

104503348800 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 104503348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198935035200).

104503348800 is an abundant number, since it is smaller than the sum of its proper divisors (293366721600).

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

104503348800 is a wasteful number, since it uses less digits than its factorization.

104503348800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 104503348800 in words is "one hundred four billion, five hundred three million, three hundred forty-eight thousand, eight hundred".