102005261 has 2 divisors, whose sum is σ = 102005262. Its totient is φ = 102005260.

The previous prime is 102005191. The next prime is 102005279. The reversal of 102005261 is 162500201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 64722025 + 37283236 = 8045^2 + 6106^2 .

It is an emirp because it is prime and its reverse (162500201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102005261 - 2²² = 97810957 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102005291) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51002630 + 51002631.

It is an arithmetic number, because the mean of its divisors is an integer number (51002631).

Almost surely, 2^102005261 is an apocalyptic number.

It is an amenable number.

102005261 is a deficient number, since it is larger than the sum of its proper divisors (1).

102005261 is an equidigital number, since it uses as much as digits as its factorization.

102005261 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 102005261 is about 10099.7653933148. The cubic root of 102005261 is about 467.2409057436.

Adding to 102005261 its reverse (162500201), we get a palindrome (264505462).

The spelling of 102005261 in words is "one hundred two million, five thousand, two hundred sixty-one".