104736003200 has 192 divisors, whose sum is σ = 266840421120. Its totient is φ = 40598937600.

The previous prime is 104736003107. The next prime is 104736003209. The reversal of 104736003200 is 2300637401.

It is a self number, because there is not a number n which added to its sum of digits gives 104736003200.

It is not an unprimeable number, because it can be changed into a prime (104736003209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15487820 + ... + 15494580.

It is an arithmetic number, because the mean of its divisors is an integer number (1389793860).

Almost surely, 2^104736003200 is an apocalyptic number.

104736003200 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 104736003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133420210560).

104736003200 is an abundant number, since it is smaller than the sum of its proper divisors (162104417920).

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

104736003200 is a wasteful number, since it uses less digits than its factorization.

104736003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6935 (or 6918 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 26.

The spelling of 104736003200 in words is "one hundred four billion, seven hundred thirty-six million, three thousand, two hundred".