105111005106 has 16 divisors (see below), whose sum is σ = 210532538304. Its totient is φ = 34985247024.

The previous prime is 105111005099. The next prime is 105111005107. The reversal of 105111005106 is 601500111501.

It is a happy number.

It is a super-2 number, since 2×105111005106² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105111005107) 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 7 ways as a sum of consecutive naturals, for example, 12934270 + ... + 12942393.

It is an arithmetic number, because the mean of its divisors is an integer number (13158283644).

Almost surely, 2^105111005106 is an apocalyptic number.

105111005106 is an abundant number, since it is smaller than the sum of its proper divisors (105421533198).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105111005106 is a wasteful number, since it uses less digits than its factorization.

105111005106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25877345.

The product of its (nonzero) digits is 150, while the sum is 21.

Adding to 105111005106 its reverse (601500111501), we get a palindrome (706611116607).

The spelling of 105111005106 in words is "one hundred five billion, one hundred eleven million, five thousand, one hundred six".