105946112 has 44 divisors (see below), whose sum is σ = 213461160. Its totient is φ = 52555776.

The previous prime is 105946111. The next prime is 105946117. The reversal of 105946112 is 211649501.

It is a super-2 number, since 2×105946112² = 22449157295833088, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105946111) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 160439 + ... + 161097.

It is an arithmetic number, because the mean of its divisors is an integer number (4851390).

Almost surely, 2^105946112 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 105946112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106730580).

105946112 is an abundant number, since it is smaller than the sum of its proper divisors (107515048).

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

105946112 is an equidigital number, since it uses as much as digits as its factorization.

105946112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 29.

The square root of 105946112 is about 10293.0127756649. The cubic root of 105946112 is about 473.1821369011.

The spelling of 105946112 in words is "one hundred five million, nine hundred forty-six thousand, one hundred twelve".