102135107 has 2 divisors, whose sum is σ = 102135108. Its totient is φ = 102135106.

The previous prime is 102135097. The next prime is 102135113. The reversal of 102135107 is 701531201.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 102135107 - 2⁴ = 102135091 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (102135307) 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 as a sum of consecutive naturals, namely, 51067553 + 51067554.

It is an arithmetic number, because the mean of its divisors is an integer number (51067554).

Almost surely, 2^102135107 is an apocalyptic number.

102135107 is a deficient number, since it is larger than the sum of its proper divisors (1).

102135107 is an equidigital number, since it uses as much as digits as its factorization.

102135107 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 210, while the sum is 20.

The square root of 102135107 is about 10106.1915180745. The cubic root of 102135107 is about 467.4390773462.

Adding to 102135107 its reverse (701531201), we get a palindrome (803666308).

It can be divided in two parts, 10213 and 5107, that multiplied together give a triangular number (52157791 = T₁₀₂₁₃).

The spelling of 102135107 in words is "one hundred two million, one hundred thirty-five thousand, one hundred seven".