102080 has 56 divisors (see below), whose sum is σ = 274320. Its totient is φ = 35840.

The previous prime is 102079. The next prime is 102101. The reversal of 102080 is 80201.

It is a Harshad number since it is a multiple of its sum of digits (11).

It is a congruent number.

It is an unprimeable number.

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, 3506 + ... + 3534.

2¹⁰²⁰⁸⁰ is an apocalyptic number.

102080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 319×320.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137160).

102080 is an abundant number, since it is smaller than the sum of its proper divisors (172240).

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

102080 is a wasteful number, since it uses less digits than its factorization.

102080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 102080 is about 319.4996087635. The cubic root of 102080 is about 46.7354993299.

Adding to 102080 its reverse (80201), we get a palindrome (182281).

The spelling of 102080 in words is "one hundred two thousand, eighty".