10105961 has 2 divisors, whose sum is σ = 10105962. Its totient is φ = 10105960.

The previous prime is 10105957. The next prime is 10106017. The reversal of 10105961 is 16950101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6990736 + 3115225 = 2644^2 + 1765^2 .

It is a cyclic number.

It is not a de Polignac number, because 10105961 - 2² = 10105957 is a prime.

It is a Chen prime.

It is equal to p₆₇₁₁₇₁ and since 10105961 and 671171 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (10105061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5052980 + 5052981.

It is an arithmetic number, because the mean of its divisors is an integer number (5052981).

Almost surely, 2^10105961 is an apocalyptic number.

It is an amenable number.

10105961 is a deficient number, since it is larger than the sum of its proper divisors (1).

10105961 is an equidigital number, since it uses as much as digits as its factorization.

10105961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 270, while the sum is 23.

The square root of 10105961 is about 3178.9874174020. The cubic root of 10105961 is about 216.2017505149.

The spelling of 10105961 in words is "ten million, one hundred five thousand, nine hundred sixty-one".