102680 has 32 divisors (see below), whose sum is σ = 246240. Its totient is φ = 38400.

The previous prime is 102679. The next prime is 102701. The reversal of 102680 is 86201.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 605 + ... + 755.

It is an arithmetic number, because the mean of its divisors is an integer number (7695).

2¹⁰²⁶⁸⁰ is an apocalyptic number.

102680 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 102680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123120).

102680 is an abundant number, since it is smaller than the sum of its proper divisors (143560).

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

102680 is a wasteful number, since it uses less digits than its factorization.

102680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 102680 is about 320.4372013359. The cubic root of 102680 is about 46.8268869294.

Adding to 102680 its reverse (86201), we get a palindrome (188881).

The spelling of 102680 in words is "one hundred two thousand, six hundred eighty".