106759944 has 80 divisors (see below), whose sum is σ = 303613200. Its totient is φ = 35041248.

The previous prime is 106759921. The next prime is 106759957. The reversal of 106759944 is 449957601.

106759944 is a `hidden beast` number, since 10 + 6 + 7 + 599 + 44 = 666.

It is a super-2 number, since 2×106759944² = 22795371285766272, 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 106759944.

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 19 ways as a sum of consecutive naturals, for example, 42187 + ... + 44645.

It is an arithmetic number, because the mean of its divisors is an integer number (3795165).

Almost surely, 2^106759944 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 106759944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151806600).

106759944 is an abundant number, since it is smaller than the sum of its proper divisors (196853256).

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

106759944 is a wasteful number, since it uses less digits than its factorization.

106759944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2544 (or 2531 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 106759944 is about 10332.4703725682. The cubic root of 106759944 is about 474.3906409566.

The spelling of 106759944 in words is "one hundred six million, seven hundred fifty-nine thousand, nine hundred forty-four".