106811814018 has 128 divisors (see below), whose sum is σ = 277082265600. Its totient is φ = 26656376832.

The previous prime is 106811814001. The next prime is 106811814019. The reversal of 106811814018 is 810418118601.

It is a super-2 number, since 2×106811814018² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (106811814019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9631905 + ... + 9642987.

It is an arithmetic number, because the mean of its divisors is an integer number (2164705200).

Almost surely, 2^106811814018 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106811814018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138541132800).

106811814018 is an abundant number, since it is smaller than the sum of its proper divisors (170270451582).

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

106811814018 is a wasteful number, since it uses less digits than its factorization.

106811814018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12056.

The product of its (nonzero) digits is 12288, while the sum is 39.

The spelling of 106811814018 in words is "one hundred six billion, eight hundred eleven million, eight hundred fourteen thousand, eighteen".