102116107 has 16 divisors (see below), whose sum is σ = 106855200. Its totient is φ = 97523712.

The previous prime is 102116083. The next prime is 102116129. The reversal of 102116107 is 701611201.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102116107 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102116137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 529003 + ... + 529195.

It is an arithmetic number, because the mean of its divisors is an integer number (6678450).

Almost surely, 2^102116107 is an apocalyptic number.

102116107 is a deficient number, since it is larger than the sum of its proper divisors (4739093).

102116107 is a wasteful number, since it uses less digits than its factorization.

102116107 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462.

The product of its (nonzero) digits is 84, while the sum is 19.

The square root of 102116107 is about 10105.2514565448. The cubic root of 102116107 is about 467.4100899474.

Adding to 102116107 its reverse (701611201), we get a palindrome (803727308).

The spelling of 102116107 in words is "one hundred two million, one hundred sixteen thousand, one hundred seven".