104150221200 has 600 divisors, whose sum is σ = 398426148648. Its totient is φ = 25964789760.

The previous prime is 104150221199. The next prime is 104150221223. The reversal of 104150221200 is 2122051401.

104150221200 is a `hidden beast` number, since 1 + 0 + 41 + 502 + 2 + 120 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 3536918784 + 100613302416 = 59472^2 + 317196^2 .

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 95287854 + ... + 95288946.

Almost surely, 2^104150221200 is an apocalyptic number.

104150221200 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 104150221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199213074324).

104150221200 is an abundant number, since it is smaller than the sum of its proper divisors (294275927448).

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

104150221200 is a wasteful number, since it uses less digits than its factorization.

104150221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 104150221200 its reverse (2122051401), we get a palindrome (106272272601).

The spelling of 104150221200 in words is "one hundred four billion, one hundred fifty million, two hundred twenty-one thousand, two hundred".