105664944 has 240 divisors, whose sum is σ = 360976896. Its totient is φ = 26019840.

The previous prime is 105664943. The next prime is 105664973. The reversal of 105664944 is 449466501.

It is a super-2 number, since 2×105664944² = 22330160781046272, which contains 22 as substring.

105664944 is a modest number, since divided by 64944 gives 1056 as remainder.

It is not an unprimeable number, because it can be changed into a prime (105664943) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 935032 + ... + 935144.

Almost surely, 2^105664944 is an apocalyptic number.

105664944 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 105664944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180488448).

105664944 is an abundant number, since it is smaller than the sum of its proper divisors (255311952).

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

105664944 is a wasteful number, since it uses less digits than its factorization.

105664944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 105664944 is about 10279.3455044570. The cubic root of 105664944 is about 472.7631769215.

The spelling of 105664944 in words is "one hundred five million, six hundred sixty-four thousand, nine hundred forty-four".