102560 has 24 divisors (see below), whose sum is σ = 242676. Its totient is φ = 40960.

The previous prime is 102559. The next prime is 102563. The reversal of 102560 is 65201.

It can be written as a sum of positive squares in 2 ways, for example, as 99856 + 2704 = 316^2 + 52^2 .

It is not an unprimeable number, because it can be changed into a prime (102563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 161 + ... + 480.

2¹⁰²⁵⁶⁰ is an apocalyptic number.

102560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102560 is an abundant number, since it is smaller than the sum of its proper divisors (140116).

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

102560 is an equidigital number, since it uses as much as digits as its factorization.

102560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 102560 is about 320.2499024200. The cubic root of 102560 is about 46.8086379458.

Adding to 102560 its reverse (65201), we get a palindrome (167761).

It can be divided in two parts, 10 and 2560, that multiplied together give a square (25600 = 160²).

The spelling of 102560 in words is "one hundred two thousand, five hundred sixty".