106912 has 24 divisors (see below), whose sum is σ = 227556. Its totient is φ = 49152.

The previous prime is 106907. The next prime is 106921. The reversal of 106912 is 219601.

It can be written as a sum of positive squares in 2 ways, for example, as 104976 + 1936 = 324^2 + 44^2 .

It is a super-2 number, since 2×106912² = 22860351488, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106912.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 288 + ... + 544.

2¹⁰⁶⁹¹² 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 106912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113778).

106912 is an abundant number, since it is smaller than the sum of its proper divisors (120644).

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

106912 is a wasteful number, since it uses less digits than its factorization.

106912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

The square root of 106912 is about 326.9740050830. The cubic root of 106912 is about 47.4615755737.

It can be divided in two parts, 1069 and 12, that added together give a triangular number (1081 = T₄₆).

The spelling of 106912 in words is "one hundred six thousand, nine hundred twelve".