105766112 has 48 divisors (see below), whose sum is σ = 221810400. Its totient is φ = 49471488.

The previous prime is 105766109. The next prime is 105766117. The reversal of 105766112 is 211667501.

It is a super-2 number, since 2×105766112² = 22372940895193088, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105766117) 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, 107768 + ... + 108744.

It is an arithmetic number, because the mean of its divisors is an integer number (4621050).

Almost surely, 2^105766112 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 105766112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110905200).

105766112 is an abundant number, since it is smaller than the sum of its proper divisors (116044288).

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

105766112 is a wasteful number, since it uses less digits than its factorization.

105766112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1203 (or 1195 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 29.

The square root of 105766112 is about 10284.2652630122. The cubic root of 105766112 is about 472.9140098186.

The spelling of 105766112 in words is "one hundred five million, seven hundred sixty-six thousand, one hundred twelve".