105116116006 has 16 divisors (see below), whose sum is σ = 172013996880. Its totient is φ = 47778439680.

The previous prime is 105116115989. The next prime is 105116116009. The reversal of 105116116006 is 600611611501.

It is a super-2 number, since 2×105116116006² (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 (105116116009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 799030 + ... + 921238.

It is an arithmetic number, because the mean of its divisors is an integer number (10750874805).

Almost surely, 2^105116116006 is an apocalyptic number.

105116116006 is a deficient number, since it is larger than the sum of its proper divisors (66897880874).

105116116006 is a wasteful number, since it uses less digits than its factorization.

105116116006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161319.

The product of its (nonzero) digits is 1080, while the sum is 28.

Adding to 105116116006 its reverse (600611611501), we get a palindrome (705727727507).

It can be divided in two parts, 105116 and 116006, that added together give a palindrome (221122).

The spelling of 105116116006 in words is "one hundred five billion, one hundred sixteen million, one hundred sixteen thousand, six".