105116066011 has 8 divisors (see below), whose sum is σ = 114771714048. Its totient is φ = 95477025000.

The previous prime is 105116065961. The next prime is 105116066063. The reversal of 105116066011 is 110660611501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105116066011 is a prime.

It is a super-2 number, since 2×105116066011² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105116066911) 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, 4138515 + ... + 4163836.

It is an arithmetic number, because the mean of its divisors is an integer number (14346464256).

Almost surely, 2^105116066011 is an apocalyptic number.

105116066011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105116066011 is a deficient number, since it is larger than the sum of its proper divisors (9655648037).

105116066011 is a wasteful number, since it uses less digits than its factorization.

105116066011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8303513.

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

Adding to 105116066011 its reverse (110660611501), we get a palindrome (215776677512).

The spelling of 105116066011 in words is "one hundred five billion, one hundred sixteen million, sixty-six thousand, eleven".