102384732 has 48 divisors (see below), whose sum is σ = 248371200. Its totient is φ = 32786880.

The previous prime is 102384721. The next prime is 102384739. The reversal of 102384732 is 237483201.

It is a self number, because there is not a number n which added to its sum of digits gives 102384732.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102384739) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82557 + ... + 83787.

It is an arithmetic number, because the mean of its divisors is an integer number (5174400).

Almost surely, 2^102384732 is an apocalyptic number.

102384732 is a gapful number since it is divisible by the number (12) 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 102384732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124185600).

102384732 is an abundant number, since it is smaller than the sum of its proper divisors (145986468).

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

102384732 is a wasteful number, since it uses less digits than its factorization.

102384732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1506 (or 1504 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 102384732 is about 10118.5340835518. The cubic root of 102384732 is about 467.8195849256.

The spelling of 102384732 in words is "one hundred two million, three hundred eighty-four thousand, seven hundred thirty-two".