102003325105253 has 48 divisors (see below), whose sum is σ = 120682723348800. Its totient is φ = 85463557171200.

The previous prime is 102003325105181. The next prime is 102003325105267. The reversal of 102003325105253 is 352501523300201.

It is not a de Polignac number, because 102003325105253 - 2¹⁰ = 102003325104229 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102003325105453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7327291733 + ... + 7327305653.

It is an arithmetic number, because the mean of its divisors is an integer number (2514223403100).

Almost surely, 2^{102003325105253} is an apocalyptic number.

102003325105253 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

102003325105253 is a deficient number, since it is larger than the sum of its proper divisors (18679398243547).

102003325105253 is a wasteful number, since it uses less digits than its factorization.

102003325105253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19830 (or 19817 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 32.

Adding to 102003325105253 its reverse (352501523300201), we get a palindrome (454504848405454).

The spelling of 102003325105253 in words is "one hundred two trillion, three billion, three hundred twenty-five million, one hundred five thousand, two hundred fifty-three".