102731149 has 2 divisors, whose sum is σ = 102731150. Its totient is φ = 102731148.

The previous prime is 102731113. The next prime is 102731177. The reversal of 102731149 is 941137201.

It is an a-pointer prime, because the next prime (102731177) can be obtained adding 102731149 to its sum of digits (28).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 56355049 + 46376100 = 7507^2 + 6810^2 .

It is a cyclic number.

It is not a de Polignac number, because 102731149 - 2¹⁷ = 102600077 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102731549) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51365574 + 51365575.

It is an arithmetic number, because the mean of its divisors is an integer number (51365575).

Almost surely, 2^102731149 is an apocalyptic number.

It is an amenable number.

102731149 is a deficient number, since it is larger than the sum of its proper divisors (1).

102731149 is an equidigital number, since it uses as much as digits as its factorization.

102731149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 28.

The square root of 102731149 is about 10135.6375724470. The cubic root of 102731149 is about 468.3466108480.

The spelling of 102731149 in words is "one hundred two million, seven hundred thirty-one thousand, one hundred forty-nine".