100380384 has 168 divisors, whose sum is σ = 320056632. Its totient is φ = 30792960.

The previous prime is 100380377. The next prime is 100380403. The reversal of 100380384 is 483083001.

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

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 27 ways as a sum of consecutive naturals, for example, 303099 + ... + 303429.

It is an arithmetic number, because the mean of its divisors is an integer number (1905099).

Almost surely, 2^100380384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100380384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160028316).

100380384 is an abundant number, since it is smaller than the sum of its proper divisors (219676248).

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

100380384 is an equidigital number, since it uses as much as digits as its factorization.

100380384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 100380384 is about 10019.0011478191. The cubic root of 100380384 is about 464.7466674202.

The spelling of 100380384 in words is "one hundred million, three hundred eighty thousand, three hundred eighty-four".