102528801 has 16 divisors (see below), whose sum is σ = 153604800. Its totient is φ = 67582944.

The previous prime is 102528787. The next prime is 102528809. The reversal of 102528801 is 108825201.

It is not a de Polignac number, because 102528801 - 2⁶ = 102528737 is a prime.

It is a super-3 number, since 3×102528801³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102528809) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 18931 + ... + 23736.

It is an arithmetic number, because the mean of its divisors is an integer number (9600300).

Almost surely, 2^102528801 is an apocalyptic number.

It is an amenable number.

102528801 is a deficient number, since it is larger than the sum of its proper divisors (51075999).

102528801 is an equidigital number, since it uses as much as digits as its factorization.

102528801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42765 (or 42759 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 102528801 is about 10125.6506457610. The cubic root of 102528801 is about 468.0389103086.

The spelling of 102528801 in words is "one hundred two million, five hundred twenty-eight thousand, eight hundred one".