102760 has 32 divisors (see below), whose sum is σ = 264960. Its totient is φ = 35136.

The previous prime is 102701. The next prime is 102761. The reversal of 102760 is 67201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102761) by changing a digit.

102760 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 97 + ... + 463.

It is an arithmetic number, because the mean of its divisors is an integer number (8280).

2¹⁰²⁷⁶⁰ is an apocalyptic number.

102760 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 102760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132480).

102760 is an abundant number, since it is smaller than the sum of its proper divisors (162200).

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

102760 is a wasteful number, since it uses less digits than its factorization.

102760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 102760 is about 320.5620064824. The cubic root of 102760 is about 46.8390450208.

Adding to 102760 its reverse (67201), we get a palindrome (169961).

The spelling of 102760 in words is "one hundred two thousand, seven hundred sixty".