111106100000106 has 12 divisors (see below), whose sum is σ = 240729883333602. Its totient is φ = 37035366666696.

The previous prime is 111106100000083. The next prime is 111106100000117. The reversal of 111106100000106 is 601000001601111.

It can be written as a sum of positive squares in only one way, i.e., 93254925745881 + 17851174254225 = 9656859^2 + 4225065^2 .

It is a super-2 number, since 2×111106100000106² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 6172561111117 = 111106100000106 / (1 + 1 + 1 + 1 + 0 + 6 + 1 + 0 + 0 + 0 + 0 + 0 + 1 + 0 + 6).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3086280555541 + ... + 3086280555576.

Almost surely, 2^{111106100000106} is an apocalyptic number.

111106100000106 is an abundant number, since it is smaller than the sum of its proper divisors (129623783333496).

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

111106100000106 is a wasteful number, since it uses less digits than its factorization.

111106100000106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6172561111125 (or 6172561111122 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 111106100000106 its reverse (601000001601111), we get a palindrome (712106101601217).

The spelling of 111106100000106 in words is "one hundred eleven trillion, one hundred six billion, one hundred million, one hundred six", and thus it is an aban number.