102500137 has 2 divisors, whose sum is σ = 102500138. Its totient is φ = 102500136.

The previous prime is 102500107. The next prime is 102500147. The reversal of 102500137 is 731005201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102495376 + 4761 = 10124^2 + 69^2 .

It is a cyclic number.

It is not a de Polignac number, because 102500137 - 2⁷ = 102500009 is a prime.

It is not a weakly prime, because it can be changed into another prime (102500107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51250068 + 51250069.

It is an arithmetic number, because the mean of its divisors is an integer number (51250069).

Almost surely, 2^102500137 is an apocalyptic number.

It is an amenable number.

102500137 is a deficient number, since it is larger than the sum of its proper divisors (1).

102500137 is an equidigital number, since it uses as much as digits as its factorization.

102500137 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 19.

The square root of 102500137 is about 10124.2351316038. The cubic root of 102500137 is about 467.9952896621.

Adding to 102500137 its reverse (731005201), we get a palindrome (833505338).

The spelling of 102500137 in words is "one hundred two million, five hundred thousand, one hundred thirty-seven".