100215408384 has 864 divisors, whose sum is σ = 377178338880. Its totient is φ = 26336378880.

The previous prime is 100215408361. The next prime is 100215408407. The reversal of 100215408384 is 483804512001.

100215408384 is a `hidden beast` number, since 1 + 0 + 0 + 215 + 408 + 38 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (100215408361) and next prime (100215408407).

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 356638324 + ... + 356638604.

Almost surely, 2^100215408384 is an apocalyptic number.

100215408384 is a gapful number since it is divisible by the number (14) 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 100215408384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188589169440).

100215408384 is an abundant number, since it is smaller than the sum of its proper divisors (276962930496).

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

100215408384 is an frugal number, since it uses more digits than its factorization.

100215408384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 100215408384 in words is "one hundred billion, two hundred fifteen million, four hundred eight thousand, three hundred eighty-four".