102752009 has 2 divisors, whose sum is σ = 102752010. Its totient is φ = 102752008.

The previous prime is 102751991. The next prime is 102752033. The reversal of 102752009 is 900257201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 76177984 + 26574025 = 8728^2 + 5155^2 .

It is an emirp because it is prime and its reverse (900257201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102752009 - 2¹² = 102747913 is a prime.

It is not a weakly prime, because it can be changed into another prime (102752059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51376004 + 51376005.

It is an arithmetic number, because the mean of its divisors is an integer number (51376005).

Almost surely, 2^102752009 is an apocalyptic number.

It is an amenable number.

102752009 is a deficient number, since it is larger than the sum of its proper divisors (1).

102752009 is an equidigital number, since it uses as much as digits as its factorization.

102752009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 102752009 is about 10136.6665625343. Note that the first 3 decimals coincide. The cubic root of 102752009 is about 468.3783086313.

The spelling of 102752009 in words is "one hundred two million, seven hundred fifty-two thousand, nine".