105196961 has 2 divisors, whose sum is σ = 105196962. Its totient is φ = 105196960.

The previous prime is 105196933. The next prime is 105196991. The reversal of 105196961 is 169691501.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 55056400 + 50140561 = 7420^2 + 7081^2 .

It is a cyclic number.

It is not a de Polignac number, because 105196961 - 2²⁶ = 38088097 is a prime.

It is a super-2 number, since 2×105196961² = 22132801207271042, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (105196921) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52598480 + 52598481.

It is an arithmetic number, because the mean of its divisors is an integer number (52598481).

Almost surely, 2^105196961 is an apocalyptic number.

It is an amenable number.

105196961 is a deficient number, since it is larger than the sum of its proper divisors (1).

105196961 is an equidigital number, since it uses as much as digits as its factorization.

105196961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 14580, while the sum is 38.

The square root of 105196961 is about 10256.5569759057. The cubic root of 105196961 is about 472.0641984520.

The spelling of 105196961 in words is "one hundred five million, one hundred ninety-six thousand, nine hundred sixty-one".