106005110111 has 8 divisors (see below), whose sum is σ = 109472053248. Its totient is φ = 102541131000.

The previous prime is 106005110077. The next prime is 106005110161. The reversal of 106005110111 is 111011500601.

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-106005110111 is a prime.

It is a super-2 number, since 2×106005110111² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 106005110111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106005110161) 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, 668195 + ... + 811476.

It is an arithmetic number, because the mean of its divisors is an integer number (13684006656).

Almost surely, 2^106005110111 is an apocalyptic number.

106005110111 is a deficient number, since it is larger than the sum of its proper divisors (3466943137).

106005110111 is a wasteful number, since it uses less digits than its factorization.

106005110111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1482013.

The product of its (nonzero) digits is 30, while the sum is 17.

Adding to 106005110111 its reverse (111011500601), we get a palindrome (217016610712).

The spelling of 106005110111 in words is "one hundred six billion, five million, one hundred ten thousand, one hundred eleven".