102000384 has 90 divisors (see below), whose sum is σ = 304208520. Its totient is φ = 33993216.

The previous prime is 102000373. The next prime is 102000389. The reversal of 102000384 is 483000201.

It is a happy number.

It is a super-2 number, since 2×102000384² = 20808156672294912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102000389) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 18277 + ... + 23195.

Almost surely, 2^102000384 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 102000384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152104260).

102000384 is an abundant number, since it is smaller than the sum of its proper divisors (202208136).

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

102000384 is an frugal number, since it uses more digits than its factorization.

102000384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4947 (or 4924 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 102000384 is about 10099.5239491770. The cubic root of 102000384 is about 467.2334591662.

Adding to 102000384 its reverse (483000201), we get a palindrome (585000585).

The spelling of 102000384 in words is "one hundred two million, three hundred eighty-four", and thus it is an aban number.