102028680 has 256 divisors, whose sum is σ = 376992000. Its totient is φ = 24530688.

The previous prime is 102028631. The next prime is 102028691. The reversal of 102028680 is 86820201.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2372739 + ... + 2372781.

It is an arithmetic number, because the mean of its divisors is an integer number (1472625).

Almost surely, 2^102028680 is an apocalyptic number.

102028680 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 102028680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188496000).

102028680 is an abundant number, since it is smaller than the sum of its proper divisors (274963320).

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

102028680 is a wasteful number, since it uses less digits than its factorization.

102028680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 102028680 is about 10100.9247101441. The cubic root of 102028680 is about 467.2766603618.

Adding to 102028680 its reverse (86820201), we get a palindrome (188848881).

The spelling of 102028680 in words is "one hundred two million, twenty-eight thousand, six hundred eighty".