105035041 has 8 divisors (see below), whose sum is σ = 106905960. Its totient is φ = 103179648.

The previous prime is 105034999. The next prime is 105035053. The reversal of 105035041 is 140530501.

It can be written as a sum of positive squares in 4 ways, for example, as 14861025 + 90174016 = 3855^2 + 9496^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105035041 - 2²¹ = 102937889 is a prime.

It is a super-2 number, since 2×105035041² = 22064719675743362, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105035141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10215 + ... + 17731.

It is an arithmetic number, because the mean of its divisors is an integer number (13363245).

Almost surely, 2^105035041 is an apocalyptic number.

It is an amenable number.

105035041 is a deficient number, since it is larger than the sum of its proper divisors (1870919).

105035041 is an equidigital number, since it uses as much as digits as its factorization.

105035041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7763.

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 105035041 is about 10248.6604490538. The cubic root of 105035041 is about 471.8218724217.

Adding to 105035041 its reverse (140530501), we get a palindrome (245565542).

The spelling of 105035041 in words is "one hundred five million, thirty-five thousand, forty-one".