102106017 has 24 divisors (see below), whose sum is σ = 159390504. Its totient is φ = 62613504.

The previous prime is 102106007. The next prime is 102106027. The reversal of 102106017 is 710601201.

It is an interprime number because it is at equal distance from previous prime (102106007) and next prime (102106027).

It can be written as a sum of positive squares in 4 ways, for example, as 3381921 + 98724096 = 1839^2 + 9936^2 .

It is not a de Polignac number, because 102106017 - 2⁶ = 102105953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102106007) 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, 35713 + ... + 38465.

It is an arithmetic number, because the mean of its divisors is an integer number (6641271).

Almost surely, 2^102106017 is an apocalyptic number.

It is an amenable number.

102106017 is a deficient number, since it is larger than the sum of its proper divisors (57284487).

102106017 is a wasteful number, since it uses less digits than its factorization.

102106017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3089 (or 3086 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 102106017 is about 10104.7521988419. The cubic root of 102106017 is about 467.3946946511.

Adding to 102106017 its reverse (710601201), we get a palindrome (812707218).

The spelling of 102106017 in words is "one hundred two million, one hundred six thousand, seventeen".