102607 has 2 divisors, whose sum is σ = 102608. Its totient is φ = 102606.

The previous prime is 102593. The next prime is 102611. The reversal of 102607 is 706201.

It is a strong prime.

It is an emirp because it is prime and its reverse (706201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102607 - 2¹¹ = 100559 is a prime.

102607 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102647) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51303 + 51304.

It is an arithmetic number, because the mean of its divisors is an integer number (51304).

2¹⁰²⁶⁰⁷ is an apocalyptic number.

102607 is a deficient number, since it is larger than the sum of its proper divisors (1).

102607 is an equidigital number, since it uses as much as digits as its factorization.

102607 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 102607 is about 320.3232742090. The cubic root of 102607 is about 46.8157871593.

Adding to 102607 its reverse (706201), we get a palindrome (808808).

The spelling of 102607 in words is "one hundred two thousand, six hundred seven".