106966944 has 144 divisors (see below), whose sum is σ = 351868608. Its totient is φ = 30191616.

The previous prime is 106966933. The next prime is 106966961. The reversal of 106966944 is 449669601.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×106966944² = 22883854217398272, 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 106966944.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 195279 + ... + 195825.

It is an arithmetic number, because the mean of its divisors is an integer number (2443532).

Almost surely, 2^106966944 is an apocalyptic number.

106966944 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106966944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175934304).

106966944 is an abundant number, since it is smaller than the sum of its proper divisors (244901664).

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

106966944 is a wasteful number, since it uses less digits than its factorization.

106966944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 106966944 is about 10342.4824872948. The cubic root of 106966944 is about 474.6970463379.

The spelling of 106966944 in words is "one hundred six million, nine hundred sixty-six thousand, nine hundred forty-four".