102003111 has 64 divisors (see below), whose sum is σ = 186624000. Its totient is φ = 53733888.

The previous prime is 102003071. The next prime is 102003127. The reversal of 102003111 is 111300201.

It is not a de Polignac number, because 102003111 - 2⁶ = 102003047 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 102003093 and 102003102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102003151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 169990 + ... + 170588.

It is an arithmetic number, because the mean of its divisors is an integer number (2916000).

Almost surely, 2^102003111 is an apocalyptic number.

102003111 is a deficient number, since it is larger than the sum of its proper divisors (84620889).

102003111 is a wasteful number, since it uses less digits than its factorization.

102003111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 102003111 is about 10099.6589546380. The cubic root of 102003111 is about 467.2376229881.

Adding to 102003111 its reverse (111300201), we get a palindrome (213303312).

The spelling of 102003111 in words is "one hundred two million, three thousand, one hundred eleven".