102116006103 has 24 divisors (see below), whose sum is σ = 148333334016. Its totient is φ = 62413837200.

The previous prime is 102116006101. The next prime is 102116006129. The reversal of 102116006103 is 301600611201.

It is not a de Polignac number, because 102116006103 - 2¹ = 102116006101 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102116006103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102116006101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1487233 + ... + 1554378.

It is an arithmetic number, because the mean of its divisors is an integer number (6180555584).

Almost surely, 2^102116006103 is an apocalyptic number.

102116006103 is a deficient number, since it is larger than the sum of its proper divisors (46217327913).

102116006103 is a wasteful number, since it uses less digits than its factorization.

102116006103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3041683 (or 3041664 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 102116006103 its reverse (301600611201), we get a palindrome (403716617304).

The spelling of 102116006103 in words is "one hundred two billion, one hundred sixteen million, six thousand, one hundred three".