102528384 has 96 divisors (see below), whose sum is σ = 316863000. Its totient is φ = 29288448.

The previous prime is 102528367. The next prime is 102528431. The reversal of 102528384 is 483825201.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×102528384³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 16092 + ... + 21540.

Almost surely, 2^102528384 is an apocalyptic number.

102528384 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 102528384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158431500).

102528384 is an abundant number, since it is smaller than the sum of its proper divisors (214334616).

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

102528384 is an equidigital number, since it uses as much as digits as its factorization.

102528384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5480 (or 5461 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 102528384 is about 10125.6300544707. The cubic root of 102528384 is about 468.0382757796.

The spelling of 102528384 in words is "one hundred two million, five hundred twenty-eight thousand, three hundred eighty-four".