105611010106 has 32 divisors (see below), whose sum is σ = 182032583040. Its totient is φ = 45015746496.

The previous prime is 105611010077. The next prime is 105611010121. The reversal of 105611010106 is 601010116501.

105611010106 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105611010106² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10417416 + ... + 10427548.

It is an arithmetic number, because the mean of its divisors is an integer number (5688518220).

Almost surely, 2^105611010106 is an apocalyptic number.

105611010106 is a deficient number, since it is larger than the sum of its proper divisors (76421572934).

105611010106 is a wasteful number, since it uses less digits than its factorization.

105611010106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14118.

The product of its (nonzero) digits is 180, while the sum is 22.

Adding to 105611010106 its reverse (601010116501), we get a palindrome (706621126607).

The spelling of 105611010106 in words is "one hundred five billion, six hundred eleven million, ten thousand, one hundred six".