102405137 has 2 divisors, whose sum is σ = 102405138. Its totient is φ = 102405136.

The previous prime is 102405133. The next prime is 102405139. The reversal of 102405137 is 731504201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71757841 + 30647296 = 8471^2 + 5536^2 .

It is a cyclic number.

It is not a de Polignac number, because 102405137 - 2² = 102405133 is a prime.

Together with 102405139, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (102405133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51202568 + 51202569.

It is an arithmetic number, because the mean of its divisors is an integer number (51202569).

Almost surely, 2^102405137 is an apocalyptic number.

It is an amenable number.

102405137 is a deficient number, since it is larger than the sum of its proper divisors (1).

102405137 is an equidigital number, since it uses as much as digits as its factorization.

102405137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 102405137 is about 10119.5423315484. The cubic root of 102405137 is about 467.8506612536.

Adding to 102405137 its reverse (731504201), we get a palindrome (833909338).

The spelling of 102405137 in words is "one hundred two million, four hundred five thousand, one hundred thirty-seven".