102132193 has 2 divisors, whose sum is σ = 102132194. Its totient is φ = 102132192.

The previous prime is 102132157. The next prime is 102132211. The reversal of 102132193 is 391231201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87478609 + 14653584 = 9353^2 + 3828^2 .

It is an emirp because it is prime and its reverse (391231201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102132193 - 2⁹ = 102131681 is a prime.

It is not a weakly prime, because it can be changed into another prime (102132493) 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, 51066096 + 51066097.

It is an arithmetic number, because the mean of its divisors is an integer number (51066097).

Almost surely, 2^102132193 is an apocalyptic number.

It is an amenable number.

102132193 is a deficient number, since it is larger than the sum of its proper divisors (1).

102132193 is an equidigital number, since it uses as much as digits as its factorization.

102132193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 102132193 is about 10106.0473479991. The cubic root of 102132193 is about 467.4346318280.

Adding to 102132193 its reverse (391231201), we get a palindrome (493363394).

The spelling of 102132193 in words is "one hundred two million, one hundred thirty-two thousand, one hundred ninety-three".