105965957 has 2 divisors, whose sum is σ = 105965958. Its totient is φ = 105965956.

The previous prime is 105965941. The next prime is 105965963. The reversal of 105965957 is 759569501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105555076 + 410881 = 10274^2 + 641^2 .

It is a cyclic number.

It is not a de Polignac number, because 105965957 - 2⁴ = 105965941 is a prime.

It is a super-2 number, since 2×105965957² = 22457568085851698, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105967957) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52982978 + 52982979.

It is an arithmetic number, because the mean of its divisors is an integer number (52982979).

Almost surely, 2^105965957 is an apocalyptic number.

It is an amenable number.

105965957 is a deficient number, since it is larger than the sum of its proper divisors (1).

105965957 is an equidigital number, since it uses as much as digits as its factorization.

105965957 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 425250, while the sum is 47.

The square root of 105965957 is about 10293.9767339935. The cubic root of 105965957 is about 473.2116793200.

The spelling of 105965957 in words is "one hundred five million, nine hundred sixty-five thousand, nine hundred fifty-seven".