102528480 has 192 divisors, whose sum is σ = 347493888. Its totient is φ = 25344000.

The previous prime is 102528431. The next prime is 102528509. The reversal of 102528480 is 84825201.

It is a super-3 number, since 3×102528480³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 408355 + ... + 408605.

It is an arithmetic number, because the mean of its divisors is an integer number (1809864).

Almost surely, 2^102528480 is an apocalyptic number.

102528480 is a gapful number since it is divisible by the number (10) 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 102528480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173746944).

102528480 is an abundant number, since it is smaller than the sum of its proper divisors (244965408).

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

102528480 is a wasteful number, since it uses less digits than its factorization.

102528480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 102528480 is about 10125.6347949153. The cubic root of 102528480 is about 468.0384218583.

The spelling of 102528480 in words is "one hundred two million, five hundred twenty-eight thousand, four hundred eighty".