105045124041 has 72 divisors (see below), whose sum is σ = 189062415360. Its totient is φ = 55673386560.

The previous prime is 105045124021. The next prime is 105045124043. The reversal of 105045124041 is 140421540501.

105045124041 is a `hidden beast` number, since 105 + 0 + 4 + 512 + 4 + 0 + 41 = 666.

It is not a de Polignac number, because 105045124041 - 2⁶ = 105045123977 is a prime.

It is a super-2 number, since 2×105045124041² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 105045123996 and 105045124014.

It is not an unprimeable number, because it can be changed into a prime (105045124043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 73720 + ... + 464246.

It is an arithmetic number, because the mean of its divisors is an integer number (2625866880).

Almost surely, 2^105045124041 is an apocalyptic number.

105045124041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105045124041 is a deficient number, since it is larger than the sum of its proper divisors (84017291319).

105045124041 is a wasteful number, since it uses less digits than its factorization.

105045124041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390587 (or 390573 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 105045124041 its reverse (140421540501), we get a palindrome (245466664542).

The spelling of 105045124041 in words is "one hundred five billion, forty-five million, one hundred twenty-four thousand, forty-one".