102580 has 24 divisors (see below), whose sum is σ = 225792. Its totient is φ = 39072.

The previous prime is 102563. The next prime is 102587. The reversal of 102580 is 85201.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102587) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 349 + ... + 571.

It is an arithmetic number, because the mean of its divisors is an integer number (9408).

2¹⁰²⁵⁸⁰ is an apocalyptic number.

102580 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 102580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112896).

102580 is an abundant number, since it is smaller than the sum of its proper divisors (123212).

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

102580 is a wasteful number, since it uses less digits than its factorization.

102580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 102580 is about 320.2811265123. The cubic root of 102580 is about 46.8116804313.

Adding to 102580 its reverse (85201), we get a palindrome (187781).

The spelling of 102580 in words is "one hundred two thousand, five hundred eighty".