100231084800 has 1944 divisors, whose sum is σ = 478898015232. Its totient is φ = 20155392000.

The previous prime is 100231084739. The next prime is 100231084867. The reversal of 100231084800 is 8480132001.

It is a tau number, because it is divible by the number of its divisors (1944).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 3233260785 + ... + 3233260815.

Almost surely, 2^100231084800 is an apocalyptic number.

100231084800 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 100231084800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239449007616).

100231084800 is an abundant number, since it is smaller than the sum of its proper divisors (378666930432).

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

100231084800 is an frugal number, since it uses more digits than its factorization.

100231084800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 100231084800 in words is "one hundred billion, two hundred thirty-one million, eighty-four thousand, eight hundred".