102407 has 2 divisors, whose sum is σ = 102408. Its totient is φ = 102406.

The previous prime is 102397. The next prime is 102409. The reversal of 102407 is 704201.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 102407 - 2¹⁰ = 101383 is a prime.

Together with 102409, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 102391 and 102400.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102409) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51203 + 51204.

It is an arithmetic number, because the mean of its divisors is an integer number (51204).

2¹⁰²⁴⁰⁷ is an apocalyptic number.

102407 is a deficient number, since it is larger than the sum of its proper divisors (1).

102407 is an equidigital number, since it uses as much as digits as its factorization.

102407 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 102407 is about 320.0109373131. The cubic root of 102407 is about 46.7853498352.

Adding to 102407 its reverse (704201), we get a palindrome (806608).

It can be divided in two parts, 102 and 407, that multiplied together give a palindrome (41514).

The spelling of 102407 in words is "one hundred two thousand, four hundred seven", and thus it is an iban number.