100447981200 has 720 divisors, whose sum is σ = 422247408960. Its totient is φ = 22608875520.

The previous prime is 100447981189. The next prime is 100447981217. The reversal of 100447981200 is 2189744001.

100447981200 is a `hidden beast` number, since 1 + 0 + 0 + 447 + 9 + 8 + 1 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 35454984 + ... + 35457816.

Almost surely, 2^100447981200 is an apocalyptic number.

100447981200 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 100447981200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211123704480).

100447981200 is an abundant number, since it is smaller than the sum of its proper divisors (321799427760).

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

100447981200 is a wasteful number, since it uses less digits than its factorization.

100447981200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2941 (or 2917 counting only the distinct ones).

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

The spelling of 100447981200 in words is "one hundred billion, four hundred forty-seven million, nine hundred eighty-one thousand, two hundred".