102528000 has 264 divisors, whose sum is σ = 373618440. Its totient is φ = 27033600.

The previous prime is 102527987. The next prime is 102528031. The reversal of 102528000 is 825201.

It can be written as a sum of positive squares in 4 ways, for example, as 14017536 + 88510464 = 3744^2 + 9408^2 .

It is a super-3 number, since 3×102528000³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1151956 + ... + 1152044.

Almost surely, 2^102528000 is an apocalyptic number.

102528000 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 102528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186809220).

102528000 is an abundant number, since it is smaller than the sum of its proper divisors (271090440).

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

102528000 is an equidigital number, since it uses as much as digits as its factorization.

102528000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 102528000 is about 10125.6110926699. The cubic root of 102528000 is about 468.0376914636.

The spelling of 102528000 in words is "one hundred two million, five hundred twenty-eight thousand".