102509149 has 2 divisors, whose sum is σ = 102509150. Its totient is φ = 102509148.

The previous prime is 102509101. The next prime is 102509189. The reversal of 102509149 is 941905201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72369049 + 30140100 = 8507^2 + 5490^2 .

It is an emirp because it is prime and its reverse (941905201) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102509149 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102509149.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102509189) 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, 51254574 + 51254575.

It is an arithmetic number, because the mean of its divisors is an integer number (51254575).

Almost surely, 2^102509149 is an apocalyptic number.

It is an amenable number.

102509149 is a deficient number, since it is larger than the sum of its proper divisors (1).

102509149 is an equidigital number, since it uses as much as digits as its factorization.

102509149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3240, while the sum is 31.

The square root of 102509149 is about 10124.6801924802. The cubic root of 102509149 is about 468.0090049282.

The spelling of 102509149 in words is "one hundred two million, five hundred nine thousand, one hundred forty-nine".