100214784000 has 360 divisors, whose sum is σ = 361363126488. Its totient is φ = 26719027200.

The previous prime is 100214783987. The next prime is 100214784017. The reversal of 100214784000 is 487412001.

It can be written as a sum of positive squares in 4 ways, for example, as 3229876224 + 96984907776 = 56832^2 + 311424^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 18429282 + ... + 18434718.

Almost surely, 2^100214784000 is an apocalyptic number.

100214784000 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 100214784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180681563244).

100214784000 is an abundant number, since it is smaller than the sum of its proper divisors (261148342488).

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

100214784000 is an frugal number, since it uses more digits than its factorization.

100214784000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5486 (or 5447 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The spelling of 100214784000 in words is "one hundred billion, two hundred fourteen million, seven hundred eighty-four thousand".