102685648 has 40 divisors (see below), whose sum is σ = 219501576. Its totient is φ = 46233600.

The previous prime is 102685643. The next prime is 102685679. The reversal of 102685648 is 846586201.

It can be written as a sum of positive squares in 4 ways, for example, as 28224 + 102657424 = 168^2 + 10132^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 102685648.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102685643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2508 + ... + 14548.

Almost surely, 2^102685648 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 102685648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109750788).

102685648 is an abundant number, since it is smaller than the sum of its proper divisors (116815928).

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

102685648 is a wasteful number, since it uses less digits than its factorization.

102685648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12103 (or 12097 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The square root of 102685648 is about 10133.3927191242. The cubic root of 102685648 is about 468.2774549775.

The spelling of 102685648 in words is "one hundred two million, six hundred eighty-five thousand, six hundred forty-eight".