102648 has 64 divisors (see below), whose sum is σ = 322560. Its totient is φ = 26496.

The previous prime is 102647. The next prime is 102653. The reversal of 102648 is 846201.

It is a super-2 number, since 2×102648² = 21073223808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2161 + ... + 2207.

It is an arithmetic number, because the mean of its divisors is an integer number (5040).

2¹⁰²⁶⁴⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161280).

102648 is an abundant number, since it is smaller than the sum of its proper divisors (219912).

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

102648 is a wasteful number, since it uses less digits than its factorization.

102648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 102648 is about 320.3872656645. The cubic root of 102648 is about 46.8220219246.

Adding to 102648 its reverse (846201), we get a palindrome (948849).

The spelling of 102648 in words is "one hundred two thousand, six hundred forty-eight".