105307261 has 2 divisors, whose sum is σ = 105307262. Its totient is φ = 105307260.

The previous prime is 105307259. The next prime is 105307327. The reversal of 105307261 is 162703501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 86601636 + 18705625 = 9306^2 + 4325^2 .

It is an emirp because it is prime and its reverse (162703501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105307261 - 2¹ = 105307259 is a prime.

It is a super-2 number, since 2×105307261² = 22179238438644242, which contains 22 as substring.

Together with 105307259, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105307201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52653630 + 52653631.

It is an arithmetic number, because the mean of its divisors is an integer number (52653631).

Almost surely, 2^105307261 is an apocalyptic number.

It is an amenable number.

105307261 is a deficient number, since it is larger than the sum of its proper divisors (1).

105307261 is an equidigital number, since it uses as much as digits as its factorization.

105307261 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 25.

The square root of 105307261 is about 10261.9326152533. The cubic root of 105307261 is about 472.2291287346.

The spelling of 105307261 in words is "one hundred five million, three hundred seven thousand, two hundred sixty-one".