102267073 has 2 divisors, whose sum is σ = 102267074. Its totient is φ = 102267072.

The previous prime is 102267071. The next prime is 102267083. The reversal of 102267073 is 370762201.

It is the 4129-th star number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101848464 + 418609 = 10092^2 + 647^2 .

It is a cyclic number.

It is not a de Polignac number, because 102267073 - 2¹ = 102267071 is a prime.

Together with 102267071, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (102267071) 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, 51133536 + 51133537.

It is an arithmetic number, because the mean of its divisors is an integer number (51133537).

Almost surely, 2^102267073 is an apocalyptic number.

It is an amenable number.

102267073 is a deficient number, since it is larger than the sum of its proper divisors (1).

102267073 is an equidigital number, since it uses as much as digits as its factorization.

102267073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3528, while the sum is 28.

The square root of 102267073 is about 10112.7183783590. The cubic root of 102267073 is about 467.6403124831.

The spelling of 102267073 in words is "one hundred two million, two hundred sixty-seven thousand, seventy-three".