105312041 has 8 divisors (see below), whose sum is σ = 111933120. Its totient is φ = 98798832.

The previous prime is 105312029. The next prime is 105312043. The reversal of 105312041 is 140213501.

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 105312041 - 2¹⁴ = 105295657 is a prime.

It is a super-3 number, since 3×105312041³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105312043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24950 + ... + 28863.

It is an arithmetic number, because the mean of its divisors is an integer number (13991640).

Almost surely, 2^105312041 is an apocalyptic number.

It is an amenable number.

105312041 is a deficient number, since it is larger than the sum of its proper divisors (6621079).

105312041 is a wasteful number, since it uses less digits than its factorization.

105312041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53935.

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 105312041 is about 10262.1655122104. The cubic root of 105312041 is about 472.2362736078.

Adding to 105312041 its reverse (140213501), we get a palindrome (245525542).

The spelling of 105312041 in words is "one hundred five million, three hundred twelve thousand, forty-one".