106606944 has 72 divisors (see below), whose sum is σ = 304864560. Its totient is φ = 35336448.

The previous prime is 106606939. The next prime is 106606963. The reversal of 106606944 is 449606601.

106606944 is a `hidden beast` number, since 1 + 0 + 6 + 606 + 9 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×106606944² = 22730081018038272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 106606899 and 106606908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55797 + ... + 57675.

It is an arithmetic number, because the mean of its divisors is an integer number (4234230).

Almost surely, 2^106606944 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 106606944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152432280).

106606944 is an abundant number, since it is smaller than the sum of its proper divisors (198257616).

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

106606944 is a wasteful number, since it uses less digits than its factorization.

106606944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2092 (or 2081 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 106606944 is about 10325.0638738944. The cubic root of 106606944 is about 474.1639127605.

The spelling of 106606944 in words is "one hundred six million, six hundred six thousand, nine hundred forty-four".