102003601248 has 216 divisors, whose sum is σ = 307575613800. Its totient is φ = 31977400320.

The previous prime is 102003601247. The next prime is 102003601253. The reversal of 102003601248 is 842106300201.

102003601248 is a `hidden beast` number, since 10 + 2 + 0 + 0 + 3 + 601 + 2 + 48 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102003601247) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 179267908 + ... + 179268476.

It is an arithmetic number, because the mean of its divisors is an integer number (1423961175).

Almost surely, 2^102003601248 is an apocalyptic number.

102003601248 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 102003601248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153787806900).

102003601248 is an abundant number, since it is smaller than the sum of its proper divisors (205572012552).

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

102003601248 is a wasteful number, since it uses less digits than its factorization.

102003601248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 102003601248 its reverse (842106300201), we get a palindrome (944109901449).

The spelling of 102003601248 in words is "one hundred two billion, three million, six hundred one thousand, two hundred forty-eight".