106105048191 has 24 divisors (see below), whose sum is σ = 162433252800. Its totient is φ = 66512150016.

The previous prime is 106105048171. The next prime is 106105048201. The reversal of 106105048191 is 191840501601.

It is a happy number.

106105048191 is a `hidden beast` number, since 1 + 0 + 61 + 0 + 504 + 8 + 1 + 91 = 666.

It is not a de Polignac number, because 106105048191 - 2⁹ = 106105047679 is a prime.

It is a super-2 number, since 2×106105048191² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106105048121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 170055 + ... + 491048.

It is an arithmetic number, because the mean of its divisors is an integer number (6768052200).

Almost surely, 2^106105048191 is an apocalyptic number.

106105048191 is a deficient number, since it is larger than the sum of its proper divisors (56328204609).

106105048191 is a wasteful number, since it uses less digits than its factorization.

106105048191 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662175 (or 662172 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 36.

Adding to 106105048191 its reverse (191840501601), we get a palindrome (297945549792).

The spelling of 106105048191 in words is "one hundred six billion, one hundred five million, forty-eight thousand, one hundred ninety-one".