102364 has 12 divisors (see below), whose sum is σ = 181384. Its totient is φ = 50544.

The previous prime is 102359. The next prime is 102367. The reversal of 102364 is 463201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 547 + ... + 709.

2¹⁰²³⁶⁴ is an apocalyptic number.

It is an amenable number.

102364 is a deficient number, since it is larger than the sum of its proper divisors (79020).

102364 is a wasteful number, since it uses less digits than its factorization.

102364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 102364 is about 319.9437450553. The cubic root of 102364 is about 46.7788006355.

Adding to 102364 its reverse (463201), we get a palindrome (565565).

It can be divided in two parts, 102 and 364, that multiplied together give a triangular number (37128 = T₂₇₂).

The spelling of 102364 in words is "one hundred two thousand, three hundred sixty-four".