106011168 has 96 divisors (see below), whose sum is σ = 290106432. Its totient is φ = 33868800.

The previous prime is 106011161. The next prime is 106011187. The reversal of 106011168 is 861110601.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×106011168² = 22476735481448448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106011161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 251598 + ... + 252018.

It is an arithmetic number, because the mean of its divisors is an integer number (3021942).

Almost surely, 2^106011168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106011168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145053216).

106011168 is an abundant number, since it is smaller than the sum of its proper divisors (184095264).

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

106011168 is a wasteful number, since it uses less digits than its factorization.

106011168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

The square root of 106011168 is about 10296.1724927276. The cubic root of 106011168 is about 473.2789692682.

Adding to 106011168 its reverse (861110601), we get a palindrome (967121769).

The spelling of 106011168 in words is "one hundred six million, eleven thousand, one hundred sixty-eight".