102486384 has 400 divisors, whose sum is σ = 403307520. Its totient is φ = 24261120.

The previous prime is 102486383. The next prime is 102486407. The reversal of 102486384 is 483684201.

102486384 is a `hidden beast` number, since 10 + 2 + 4 + 8 + 638 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102486383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1297257 + ... + 1297335.

Almost surely, 2^102486384 is an apocalyptic number.

102486384 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 102486384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201653760).

102486384 is an abundant number, since it is smaller than the sum of its proper divisors (300821136).

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

102486384 is a wasteful number, since it uses less digits than its factorization.

102486384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 102486384 is about 10123.5558970156. Note that the first 3 decimals coincide. The cubic root of 102486384 is about 467.9743575694.

The spelling of 102486384 in words is "one hundred two million, four hundred eighty-six thousand, three hundred eighty-four".