102528306 has 12 divisors (see below), whose sum is σ = 222144702. Its totient is φ = 34176096.

The previous prime is 102528289. The next prime is 102528337. The reversal of 102528306 is 603825201.

102528306 is a `hidden beast` number, since 102 + 528 + 30 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 71825625 + 30702681 = 8475^2 + 5541^2 .

It is a super-3 number, since 3×102528306³ (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102528306.

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 5 ways as a sum of consecutive naturals, for example, 2847991 + ... + 2848026.

Almost surely, 2^102528306 is an apocalyptic number.

102528306 is an abundant number, since it is smaller than the sum of its proper divisors (119616396).

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

102528306 is a wasteful number, since it uses less digits than its factorization.

102528306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5696025 (or 5696022 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 102528306 is about 10125.6262028578. The cubic root of 102528306 is about 468.0381570905.

The spelling of 102528306 in words is "one hundred two million, five hundred twenty-eight thousand, three hundred six".