102339648 has 84 divisors (see below), whose sum is σ = 295859200. Its totient is φ = 33820416.

The previous prime is 102339647. The next prime is 102339659. The reversal of 102339648 is 846933201.

102339648 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 3 + 9 + 648 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (102339647) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72453 + ... + 73851.

Almost surely, 2^102339648 is an apocalyptic number.

102339648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102339648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147929600).

102339648 is an abundant number, since it is smaller than the sum of its proper divisors (193519552).

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

102339648 is a wasteful number, since it uses less digits than its factorization.

102339648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1544 (or 1531 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 102339648 is about 10116.3060451926. The cubic root of 102339648 is about 467.7509084271.

It can be divided in two parts, 10233 and 9648, that added together give a square (19881 = 141²).

The spelling of 102339648 in words is "one hundred two million, three hundred thirty-nine thousand, six hundred forty-eight".