104018947200 has 1536 divisors, whose sum is σ = 470627020800. Its totient is φ = 21897216000.

The previous prime is 104018947199. The next prime is 104018947211. The reversal of 104018947200 is 2749810401.

104018947200 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 189 + 472 + 0 + 0 = 666.

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 (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 688867125 + ... + 688867275.

It is an arithmetic number, because the mean of its divisors is an integer number (306397800).

Almost surely, 2^104018947200 is an apocalyptic number.

104018947200 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 104018947200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235313510400).

104018947200 is an abundant number, since it is smaller than the sum of its proper divisors (366608073600).

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

104018947200 is a wasteful number, since it uses less digits than its factorization.

104018947200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 104018947200 in words is "one hundred four billion, eighteen million, nine hundred forty-seven thousand, two hundred".