102384108 has 48 divisors (see below), whose sum is σ = 269809120. Its totient is φ = 33566400.

The previous prime is 102384101. The next prime is 102384119. The reversal of 102384108 is 801483201.

102384108 is a `hidden beast` number, since 10 + 238 + 410 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (102384101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1183 + ... + 14358.

Almost surely, 2^102384108 is an apocalyptic number.

102384108 is a gapful number since it is divisible by the number (18) 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 102384108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134904560).

102384108 is an abundant number, since it is smaller than the sum of its proper divisors (167425012).

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

102384108 is a wasteful number, since it uses less digits than its factorization.

102384108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15615 (or 15607 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 102384108 is about 10118.5032489988. The cubic root of 102384108 is about 467.8186345234.

The spelling of 102384108 in words is "one hundred two million, three hundred eighty-four thousand, one hundred eight".