102882528 has 96 divisors (see below), whose sum is σ = 342961920. Its totient is φ = 29393280.

The previous prime is 102882499. The next prime is 102882541. The reversal of 102882528 is 825288201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 102882492 and 102882501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2458 + ... + 14553.

It is an arithmetic number, because the mean of its divisors is an integer number (3572520).

Almost surely, 2^102882528 is an apocalyptic number.

102882528 is a gapful number since it is divisible by the number (18) 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 102882528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171480960).

102882528 is an abundant number, since it is smaller than the sum of its proper divisors (240079392).

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

102882528 is a wasteful number, since it uses less digits than its factorization.

102882528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17037 (or 17023 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 102882528 is about 10143.1024839543. The cubic root of 102882528 is about 468.5765412603.

The spelling of 102882528 in words is "one hundred two million, eight hundred eighty-two thousand, five hundred twenty-eight".