105265961 has 2 divisors, whose sum is σ = 105265962. Its totient is φ = 105265960.

The previous prime is 105265933. The next prime is 105265973. The reversal of 105265961 is 169562501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89113600 + 16152361 = 9440^2 + 4019^2 .

It is an emirp because it is prime and its reverse (169562501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105265961 - 2²² = 101071657 is a prime.

It is a super-2 number, since 2×105265961² = 22161845090507042, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105265991) 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, 52632980 + 52632981.

It is an arithmetic number, because the mean of its divisors is an integer number (52632981).

Almost surely, 2^105265961 is an apocalyptic number.

It is an amenable number.

105265961 is a deficient number, since it is larger than the sum of its proper divisors (1).

105265961 is an equidigital number, since it uses as much as digits as its factorization.

105265961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16200, while the sum is 35.

The square root of 105265961 is about 10259.9201263947. The cubic root of 105265961 is about 472.1673868281.

The spelling of 105265961 in words is "one hundred five million, two hundred sixty-five thousand, nine hundred sixty-one".