268106112 has 160 divisors (see below), whose sum is σ = 840490200. Its totient is φ = 84602880.

The previous prime is 268106081. The next prime is 268106141. The reversal of 268106112 is 211601862.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 196312 + ... + 197672.

Almost surely, 2^268106112 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 268106112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420245100).

268106112 is an abundant number, since it is smaller than the sum of its proper divisors (572384088).

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

268106112 is a wasteful number, since it uses less digits than its factorization.

268106112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1406 (or 1385 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 268106112 is about 16373.9461340265. The cubic root of 268106112 is about 644.8156531039.

Adding to 268106112 its reverse (211601862), we get a palindrome (479707974).

The spelling of 268106112 in words is "two hundred sixty-eight million, one hundred six thousand, one hundred twelve".