105966437 has 2 divisors, whose sum is σ = 105966438. Its totient is φ = 105966436.

The previous prime is 105966403. The next prime is 105966461. The reversal of 105966437 is 734669501.

It is a Cunningham number, because it is equal to 10294²+1.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105966436 + 1 = 10294^2 + 1^2 .

It is a cyclic number.

It is not a de Polignac number, because 105966437 - 2²⁰ = 104917861 is a prime.

It is a super-2 number, since 2×105966437² = 22457771540949938, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105966394 and 105966403.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105926437) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52983218 + 52983219.

It is an arithmetic number, because the mean of its divisors is an integer number (52983219).

Almost surely, 2^105966437 is an apocalyptic number.

It is an amenable number.

105966437 is a deficient number, since it is larger than the sum of its proper divisors (1).

105966437 is an equidigital number, since it uses as much as digits as its factorization.

105966437 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 136080, while the sum is 41.

The square root of 105966437 is about 10294.0000485720. Note that the first 4 decimals coincide. The cubic root of 105966437 is about 473.2123938302.

The spelling of 105966437 in words is "one hundred five million, nine hundred sixty-six thousand, four hundred thirty-seven".