105340032041 has 16 divisors (see below), whose sum is σ = 117215011584. Its totient is φ = 94220630784.

The previous prime is 105340031843. The next prime is 105340032073. The reversal of 105340032041 is 140230043501.

It is a cyclic number.

It is not a de Polignac number, because 105340032041 - 2¹⁸ = 105339769897 is a prime.

It is a super-2 number, since 2×105340032041² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105340031998 and 105340032016.

It is not an unprimeable number, because it can be changed into a prime (105340032841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1920305 + ... + 1974398.

It is an arithmetic number, because the mean of its divisors is an integer number (7325938224).

Almost surely, 2^105340032041 is an apocalyptic number.

It is an amenable number.

105340032041 is a deficient number, since it is larger than the sum of its proper divisors (11874979543).

105340032041 is a wasteful number, since it uses less digits than its factorization.

105340032041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3894800.

The product of its (nonzero) digits is 1440, while the sum is 23.

Adding to 105340032041 its reverse (140230043501), we get a palindrome (245570075542).

The spelling of 105340032041 in words is "one hundred five billion, three hundred forty million, thirty-two thousand, forty-one".