102264193 has 2 divisors, whose sum is σ = 102264194. Its totient is φ = 102264192.

The previous prime is 102264143. The next prime is 102264203. The reversal of 102264193 is 391462201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98962704 + 3301489 = 9948^2 + 1817^2 .

It is a cyclic number.

It is not a de Polignac number, because 102264193 - 2²⁵ = 68709761 is a prime.

It is not a weakly prime, because it can be changed into another prime (102264103) 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, 51132096 + 51132097.

It is an arithmetic number, because the mean of its divisors is an integer number (51132097).

Almost surely, 2^102264193 is an apocalyptic number.

It is an amenable number.

102264193 is a deficient number, since it is larger than the sum of its proper divisors (1).

102264193 is an equidigital number, since it uses as much as digits as its factorization.

102264193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 102264193 is about 10112.5759824092. The cubic root of 102264193 is about 467.6359226154.

The spelling of 102264193 in words is "one hundred two million, two hundred sixty-four thousand, one hundred ninety-three".