105106100041 has 2 divisors, whose sum is σ = 105106100042. Its totient is φ = 105106100040.

The previous prime is 105106099999. The next prime is 105106100083. The reversal of 105106100041 is 140001601501.

It is a balanced prime because it is at equal distance from previous prime (105106099999) and next prime (105106100083).

It can be written as a sum of positive squares in only one way, i.e., 96330157641 + 8775942400 = 310371^2 + 93680^2 .

It is a cyclic number.

It is not a de Polignac number, because 105106100041 - 2²⁷ = 104971882313 is a prime.

It is a super-2 number, since 2×105106100041² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105106099991 and 105106100018.

It is not a weakly prime, because it can be changed into another prime (105106100941) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52553050020 + 52553050021.

It is an arithmetic number, because the mean of its divisors is an integer number (52553050021).

Almost surely, 2^105106100041 is an apocalyptic number.

It is an amenable number.

105106100041 is a deficient number, since it is larger than the sum of its proper divisors (1).

105106100041 is an equidigital number, since it uses as much as digits as its factorization.

105106100041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120, while the sum is 19.

Adding to 105106100041 its reverse (140001601501), we get a palindrome (245107701542).

The spelling of 105106100041 in words is "one hundred five billion, one hundred six million, one hundred thousand, forty-one".