105505051041 has 32 divisors (see below), whose sum is σ = 178228753920. Its totient is φ = 61106994432.

The previous prime is 105505051031. The next prime is 105505051103. The reversal of 105505051041 is 140150505501.

105505051041 is a `hidden beast` number, since 1 + 0 + 5 + 50 + 505 + 104 + 1 = 666.

It is not a de Polignac number, because 105505051041 - 2⁹ = 105505050529 is a prime.

It is a super-2 number, since 2×105505051041² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 105505050996 and 105505051014.

It is not an unprimeable number, because it can be changed into a prime (105505051021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8834745 + ... + 8846678.

It is an arithmetic number, because the mean of its divisors is an integer number (5569648560).

Almost surely, 2^105505051041 is an apocalyptic number.

It is an amenable number.

105505051041 is a deficient number, since it is larger than the sum of its proper divisors (72723702879).

105505051041 is a wasteful number, since it uses less digits than its factorization.

105505051041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17681462 (or 17681456 counting only the distinct ones).

The product of its (nonzero) digits is 2500, while the sum is 27.

Adding to 105505051041 its reverse (140150505501), we get a palindrome (245655556542).

The spelling of 105505051041 in words is "one hundred five billion, five hundred five million, fifty-one thousand, forty-one".