102384468 has 18 divisors (see below), whose sum is σ = 258805274. Its totient is φ = 34128144.

The previous prime is 102384467. The next prime is 102384497. The reversal of 102384468 is 864483201.

It can be written as a sum of positive squares in only one way, i.e., 101243844 + 1140624 = 10062^2 + 1068^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2844013 = 102384468 / (1 + 0 + 2 + 3 + 8 + 4 + 4 + 6 + 8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102384461) 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 5 ways as a sum of consecutive naturals, for example, 1421971 + ... + 1422042.

Almost surely, 2^102384468 is an apocalyptic number.

102384468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

102384468 is an abundant number, since it is smaller than the sum of its proper divisors (156420806).

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

102384468 is a wasteful number, since it uses less digits than its factorization.

102384468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2844023 (or 2844018 counting only the distinct ones).

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

The square root of 102384468 is about 10118.5210381755. The cubic root of 102384468 is about 467.8191828328.

It can be divided in two parts, 10238 and 4468, that added together give a triangular number (14706 = T₁₇₁).

The spelling of 102384468 in words is "one hundred two million, three hundred eighty-four thousand, four hundred sixty-eight".