105311041 has 16 divisors (see below), whose sum is σ = 117109440. Its totient is φ = 93899520.

The previous prime is 105311033. The next prime is 105311077. The reversal of 105311041 is 140113501.

It is not a de Polignac number, because 105311041 - 2³ = 105311033 is a prime.

It is a super-2 number, since 2×105311041² = 22180830713007362, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105371041) 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 15 ways as a sum of consecutive naturals, for example, 251130 + ... + 251548.

It is an arithmetic number, because the mean of its divisors is an integer number (7319340).

Almost surely, 2^105311041 is an apocalyptic number.

105311041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105311041 is a deficient number, since it is larger than the sum of its proper divisors (11798399).

105311041 is a wasteful number, since it uses less digits than its factorization.

105311041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816.

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 105311041 is about 10262.1167894348. The cubic root of 105311041 is about 472.2347788823.

Adding to 105311041 its reverse (140113501), we get a palindrome (245424542).

The spelling of 105311041 in words is "one hundred five million, three hundred eleven thousand, forty-one".