102528000000 has 588 divisors, whose sum is σ = 374372356410. Its totient is φ = 27033600000.

The previous prime is 102527999993. The next prime is 102528000011. The reversal of 102528000000 is 825201.

It can be written as a sum of positive squares in 7 ways, for example, as 71122489344 + 31405510656 = 266688^2 + 177216^2 .

It is a super-3 number, since 3×102528000000³ (a number of 34 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 1151999956 + ... + 1152000044.

Almost surely, 2^102528000000 is an apocalyptic number.

102528000000 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 102528000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187186178205).

102528000000 is an abundant number, since it is smaller than the sum of its proper divisors (271844356410).

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

102528000000 is an frugal number, since it uses more digits than its factorization.

102528000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 99 counting only the distinct ones).

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

Adding to 102528000000 its reverse (825201), we get a palindrome (102528825201).

The spelling of 102528000000 in words is "one hundred two billion, five hundred twenty-eight million", and thus it is an aban number.