102538309 has 2 divisors, whose sum is σ = 102538310. Its totient is φ = 102538308.

The previous prime is 102538279. The next prime is 102538313. The reversal of 102538309 is 903835201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 57608100 + 44930209 = 7590^2 + 6703^2 .

It is a cyclic number.

It is not a de Polignac number, because 102538309 - 2¹³ = 102530117 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102038309) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51269154 + 51269155.

It is an arithmetic number, because the mean of its divisors is an integer number (51269155).

Almost surely, 2^102538309 is an apocalyptic number.

It is an amenable number.

102538309 is a deficient number, since it is larger than the sum of its proper divisors (1).

102538309 is an equidigital number, since it uses as much as digits as its factorization.

102538309 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 102538309 is about 10126.1201355702. The cubic root of 102538309 is about 468.0533777114.

The spelling of 102538309 in words is "one hundred two million, five hundred thirty-eight thousand, three hundred nine".