106944112 has 80 divisors (see below), whose sum is σ = 244270080. Its totient is φ = 44844800.

The previous prime is 106944073. The next prime is 106944143. The reversal of 106944112 is 211449601.

It is a super-2 number, since 2×106944112² = 22874086182937088, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116937 + ... + 117847.

It is an arithmetic number, because the mean of its divisors is an integer number (3053376).

Almost surely, 2^106944112 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 106944112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122135040).

106944112 is an abundant number, since it is smaller than the sum of its proper divisors (137325968).

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

106944112 is a wasteful number, since it uses less digits than its factorization.

106944112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 106944112 is about 10341.3786314978. The cubic root of 106944112 is about 474.6632693791.

It can be divided in two parts, 1069441 and 12, that added together give a triangular number (1069453 = T₁₄₆₂).

The spelling of 106944112 in words is "one hundred six million, nine hundred forty-four thousand, one hundred twelve".