103504564800 has 1344 divisors, whose sum is σ = 470504885760. Its totient is φ = 21552168960.

The previous prime is 103504564777. The next prime is 103504564811. The reversal of 103504564800 is 8465405301.

It is a happy number.

103504564800 is a `hidden beast` number, since 1 + 0 + 3 + 5 + 0 + 4 + 5 + 648 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 444225484 + ... + 444225716.

It is an arithmetic number, because the mean of its divisors is an integer number (350078040).

Almost surely, 2^103504564800 is an apocalyptic number.

103504564800 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 103504564800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235252442880).

103504564800 is an abundant number, since it is smaller than the sum of its proper divisors (367000320960).

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

103504564800 is a wasteful number, since it uses less digits than its factorization.

103504564800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 103504564800 in words is "one hundred three billion, five hundred four million, five hundred sixty-four thousand, eight hundred".