102416513 has 2 divisors, whose sum is σ = 102416514. Its totient is φ = 102416512.

The previous prime is 102416471. The next prime is 102416537. The reversal of 102416513 is 315614201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83302129 + 19114384 = 9127^2 + 4372^2 .

It is a cyclic number.

It is not a de Polignac number, because 102416513 - 2¹⁶ = 102350977 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (102416543) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51208256 + 51208257.

It is an arithmetic number, because the mean of its divisors is an integer number (51208257).

Almost surely, 2^102416513 is an apocalyptic number.

It is an amenable number.

102416513 is a deficient number, since it is larger than the sum of its proper divisors (1).

102416513 is an equidigital number, since it uses as much as digits as its factorization.

102416513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 102416513 is about 10120.1043966947. The cubic root of 102416513 is about 467.8679848379.

The spelling of 102416513 in words is "one hundred two million, four hundred sixteen thousand, five hundred thirteen".