102116562615075 has 96 divisors (see below), whose sum is σ = 171832341169152. Its totient is φ = 53499230928000.

The previous prime is 102116562615049. The next prime is 102116562615077. The reversal of 102116562615075 is 570516265611201.

It is a Cunningham number, because it is equal to 10105274²-1.

It is not a de Polignac number, because 102116562615075 - 2¹⁴ = 102116562598691 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102116562615077) 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 95 ways as a sum of consecutive naturals, for example, 4476625420 + ... + 4476648230.

It is an arithmetic number, because the mean of its divisors is an integer number (1789920220512).

Almost surely, 2^{102116562615075} is an apocalyptic number.

102116562615075 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

102116562615075 is a deficient number, since it is larger than the sum of its proper divisors (69715778554077).

102116562615075 is a wasteful number, since it uses less digits than its factorization.

102116562615075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25345 (or 25340 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 48.

The spelling of 102116562615075 in words is "one hundred two trillion, one hundred sixteen billion, five hundred sixty-two million, six hundred fifteen thousand, seventy-five".