102496 has 12 divisors (see below), whose sum is σ = 201852. Its totient is φ = 51232.

The previous prime is 102481. The next prime is 102497. The reversal of 102496 is 694201.

102496 = 4² + 5² + ... + 67².

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102497) 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 as a sum of consecutive naturals, namely, 1570 + ... + 1633.

It is an arithmetic number, because the mean of its divisors is an integer number (16821).

2¹⁰²⁴⁹⁶ is an apocalyptic number.

102496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

102496 is a deficient number, since it is larger than the sum of its proper divisors (99356).

102496 is an equidigital number, since it uses as much as digits as its factorization.

102496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3213 (or 3205 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 102496 is about 320.1499648602. The cubic root of 102496 is about 46.7988993337.

Adding to 102496 its reverse (694201), we get a palindrome (796697).

The spelling of 102496 in words is "one hundred two thousand, four hundred ninety-six".