102592541 has 2 divisors, whose sum is σ = 102592542. Its totient is φ = 102592540.

The previous prime is 102592499. The next prime is 102592549. The reversal of 102592541 is 145295201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 54081316 + 48511225 = 7354^2 + 6965^2 .

It is an emirp because it is prime and its reverse (145295201) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102592541 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 (102592549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51296270 + 51296271.

It is an arithmetic number, because the mean of its divisors is an integer number (51296271).

Almost surely, 2^102592541 is an apocalyptic number.

It is an amenable number.

102592541 is a deficient number, since it is larger than the sum of its proper divisors (1).

102592541 is an equidigital number, since it uses as much as digits as its factorization.

102592541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3600, while the sum is 29.

The square root of 102592541 is about 10128.7976087984. The cubic root of 102592541 is about 468.1358802001.

The spelling of 102592541 in words is "one hundred two million, five hundred ninety-two thousand, five hundred forty-one".