106011656166 has 64 divisors (see below), whose sum is σ = 238504734720. Its totient is φ = 31168748160.

The previous prime is 106011656147. The next prime is 106011656167. The reversal of 106011656166 is 661656110601.

It is a super-2 number, since 2×106011656166² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106011656167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1748040 + ... + 1807668.

It is an arithmetic number, because the mean of its divisors is an integer number (3726636480).

Almost surely, 2^106011656166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106011656166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119252367360).

106011656166 is an abundant number, since it is smaller than the sum of its proper divisors (132493078554).

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

106011656166 is a wasteful number, since it uses less digits than its factorization.

106011656166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60661.

The product of its (nonzero) digits is 38880, while the sum is 39.

Adding to 106011656166 its reverse (661656110601), we get a palindrome (767667766767).

The spelling of 106011656166 in words is "one hundred six billion, eleven million, six hundred fifty-six thousand, one hundred sixty-six".