102516041 has 2 divisors, whose sum is σ = 102516042. Its totient is φ = 102516040.

The previous prime is 102516019. The next prime is 102516049. The reversal of 102516041 is 140615201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 79138816 + 23377225 = 8896^2 + 4835^2 .

It is a cyclic number.

It is not a de Polignac number, because 102516041 - 2¹⁸ = 102253897 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (102516049) 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, 51258020 + 51258021.

It is an arithmetic number, because the mean of its divisors is an integer number (51258021).

Almost surely, 2^102516041 is an apocalyptic number.

It is an amenable number.

102516041 is a deficient number, since it is larger than the sum of its proper divisors (1).

102516041 is an equidigital number, since it uses as much as digits as its factorization.

102516041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 102516041 is about 10125.0205431890. The cubic root of 102516041 is about 468.0194932465.

It can be divided in two parts, 1025160 and 41, that added together give a palindrome (1025201).

The spelling of 102516041 in words is "one hundred two million, five hundred sixteen thousand, forty-one".