102764 has 12 divisors (see below), whose sum is σ = 187824. Its totient is φ = 49104.

The previous prime is 102763. The next prime is 102769. The reversal of 102764 is 467201.

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

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 467 + ... + 650.

It is an arithmetic number, because the mean of its divisors is an integer number (15652).

2¹⁰²⁷⁶⁴ is an apocalyptic number.

It is an amenable number.

102764 is a deficient number, since it is larger than the sum of its proper divisors (85060).

102764 is a wasteful number, since it uses less digits than its factorization.

102764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 102764 is about 320.5682454642. The cubic root of 102764 is about 46.8396527597.

Adding to 102764 its reverse (467201), we get a palindrome (569965).

The spelling of 102764 in words is "one hundred two thousand, seven hundred sixty-four".