102727117 has 2 divisors, whose sum is σ = 102727118. Its totient is φ = 102727116.

The previous prime is 102727069. The next prime is 102727123. The reversal of 102727117 is 711727201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80174116 + 22553001 = 8954^2 + 4749^2 .

It is an emirp because it is prime and its reverse (711727201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102727117 - 2¹¹ = 102725069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102727517) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51363558 + 51363559.

It is an arithmetic number, because the mean of its divisors is an integer number (51363559).

Almost surely, 2^102727117 is an apocalyptic number.

It is an amenable number.

102727117 is a deficient number, since it is larger than the sum of its proper divisors (1).

102727117 is an equidigital number, since it uses as much as digits as its factorization.

102727117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1372, while the sum is 28.

The square root of 102727117 is about 10135.4386683557. The cubic root of 102727117 is about 468.3404835333.

The spelling of 102727117 in words is "one hundred two million, seven hundred twenty-seven thousand, one hundred seventeen".