105906041 has 2 divisors, whose sum is σ = 105906042. Its totient is φ = 105906040.

The previous prime is 105906037. The next prime is 105906043. The reversal of 105906041 is 140609501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74321641 + 31584400 = 8621^2 + 5620^2 .

It is a cyclic number.

It is not a de Polignac number, because 105906041 - 2² = 105906037 is a prime.

It is a super-2 number, since 2×105906041² = 22432179040587362, which contains 22 as substring.

Together with 105906043, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p_6081722 and since 105906041 and 6081722 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 105906041.

It is not a weakly prime, because it can be changed into another prime (105906043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52953020 + 52953021.

It is an arithmetic number, because the mean of its divisors is an integer number (52953021).

Almost surely, 2^105906041 is an apocalyptic number.

It is an amenable number.

105906041 is a deficient number, since it is larger than the sum of its proper divisors (1).

105906041 is an equidigital number, since it uses as much as digits as its factorization.

105906041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 105906041 is about 10291.0660769427. The cubic root of 105906041 is about 473.1224736377.

The spelling of 105906041 in words is "one hundred five million, nine hundred six thousand, forty-one".