104843475573200 has 1440 divisors, whose sum is σ = 329513918196960. Its totient is φ = 31753528934400.

The previous prime is 104843475573149. The next prime is 104843475573203. The reversal of 104843475573200 is 2375574348401.

It can be written as a sum of positive squares in 48 ways, for example, as 88088436175936 + 16755039397264 = 9385544^2 + 4093292^2 .

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104843475573203) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 112856270336 + ... + 112856271264.

It is an arithmetic number, because the mean of its divisors is an integer number (228829109859).

Almost surely, 2^{104843475573200} is an apocalyptic number.

104843475573200 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 104843475573200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164756959098480).

104843475573200 is an abundant number, since it is smaller than the sum of its proper divisors (224670442623760).

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

104843475573200 is a wasteful number, since it uses less digits than its factorization.

104843475573200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 53.

The spelling of 104843475573200 in words is "one hundred four trillion, eight hundred forty-three billion, four hundred seventy-five million, five hundred seventy-three thousand, two hundred".