102193937 has 2 divisors, whose sum is σ = 102193938. Its totient is φ = 102193936.

The previous prime is 102193909. The next prime is 102193943. The reversal of 102193937 is 739391201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95863681 + 6330256 = 9791^2 + 2516^2 .

It is a cyclic number.

It is not a de Polignac number, because 102193937 - 2⁶ = 102193873 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 102193897 and 102193906.

It is not a weakly prime, because it can be changed into another prime (102193957) 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, 51096968 + 51096969.

It is an arithmetic number, because the mean of its divisors is an integer number (51096969).

Almost surely, 2^102193937 is an apocalyptic number.

It is an amenable number.

102193937 is a deficient number, since it is larger than the sum of its proper divisors (1).

102193937 is an equidigital number, since it uses as much as digits as its factorization.

102193937 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10206, while the sum is 35.

The square root of 102193937 is about 10109.1016910505. The cubic root of 102193937 is about 467.5288086949.

The spelling of 102193937 in words is "one hundred two million, one hundred ninety-three thousand, nine hundred thirty-seven".