101408509 has 2 divisors, whose sum is σ = 101408510. Its totient is φ = 101408508.

The previous prime is 101408441. The next prime is 101408537. The reversal of 101408509 is 905804101.

It is a happy number.

It is an a-pointer prime, because the next prime (101408537) can be obtained adding 101408509 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., 86081284 + 15327225 = 9278^2 + 3915^2 .

It is a cyclic number.

It is not a de Polignac number, because 101408509 - 2⁷ = 101408381 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101408599) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50704254 + 50704255.

It is an arithmetic number, because the mean of its divisors is an integer number (50704255).

Almost surely, 2^101408509 is an apocalyptic number.

It is an amenable number.

101408509 is a deficient number, since it is larger than the sum of its proper divisors (1).

101408509 is an equidigital number, since it uses as much as digits as its factorization.

101408509 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1440, while the sum is 28.

The square root of 101408509 is about 10070.1791940362. The cubic root of 101408509 is about 466.3279709654.

The spelling of 101408509 in words is "one hundred one million, four hundred eight thousand, five hundred nine".