102264013 has 2 divisors, whose sum is σ = 102264014. Its totient is φ = 102264012.

The previous prime is 102264011. The next prime is 102264017. The reversal of 102264013 is 310462201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95199049 + 7064964 = 9757^2 + 2658^2 .

It is a cyclic number.

It is not a de Polignac number, because 102264013 - 2¹ = 102264011 is a prime.

Together with 102264011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102264011) 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, 51132006 + 51132007.

It is an arithmetic number, because the mean of its divisors is an integer number (51132007).

Almost surely, 2^102264013 is an apocalyptic number.

It is an amenable number.

102264013 is a deficient number, since it is larger than the sum of its proper divisors (1).

102264013 is an equidigital number, since it uses as much as digits as its factorization.

102264013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 102264013 is about 10112.5670825958. The cubic root of 102264013 is about 467.6356482460.

The spelling of 102264013 in words is "one hundred two million, two hundred sixty-four thousand, thirteen".