102003149 has 2 divisors, whose sum is σ = 102003150. Its totient is φ = 102003148.

The previous prime is 102003127. The next prime is 102003151. The reversal of 102003149 is 941300201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 51337225 + 50665924 = 7165^2 + 7118^2 .

It is an emirp because it is prime and its reverse (941300201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102003149 - 2¹⁶ = 101937613 is a prime.

Together with 102003151, it forms a pair of twin primes.

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 102003149.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102023149) 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, 51001574 + 51001575.

It is an arithmetic number, because the mean of its divisors is an integer number (51001575).

Almost surely, 2^102003149 is an apocalyptic number.

It is an amenable number.

102003149 is a deficient number, since it is larger than the sum of its proper divisors (1).

102003149 is an equidigital number, since it uses as much as digits as its factorization.

102003149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 102003149 is about 10099.6608358895. The cubic root of 102003149 is about 467.2376810093.

The spelling of 102003149 in words is "one hundred two million, three thousand, one hundred forty-nine".