105835041 has 12 divisors (see below), whose sum is σ = 164632468. Its totient is φ = 65129184.

The previous prime is 105835033. The next prime is 105835057. The reversal of 105835041 is 140538501.

It can be written as a sum of positive squares in 2 ways, for example, as 4410000 + 101425041 = 2100^2 + 10071^2 .

It is not a de Polignac number, because 105835041 - 2³ = 105835033 is a prime.

It is a super-2 number, since 2×105835041² = 22402111806943362, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105834996 and 105835014.

It is not an unprimeable number, because it can be changed into a prime (105835141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 452170 + ... + 452403.

Almost surely, 2^105835041 is an apocalyptic number.

It is an amenable number.

105835041 is a deficient number, since it is larger than the sum of its proper divisors (58797427).

105835041 is a wasteful number, since it uses less digits than its factorization.

105835041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904592 (or 904589 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 105835041 is about 10287.6159045719. The cubic root of 105835041 is about 473.0167220211.

The spelling of 105835041 in words is "one hundred five million, eight hundred thirty-five thousand, forty-one".