106566744 has 128 divisors (see below), whose sum is σ = 303264000. Its totient is φ = 31002624.

The previous prime is 106566743. The next prime is 106566769. The reversal of 106566744 is 447665601.

It is a super-2 number, since 2×106566744² = 22712941853523072, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106566743) 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 31 ways as a sum of consecutive naturals, for example, 457252 + ... + 457484.

It is an arithmetic number, because the mean of its divisors is an integer number (2369250).

Almost surely, 2^106566744 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 106566744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151632000).

106566744 is an abundant number, since it is smaller than the sum of its proper divisors (196697256).

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

106566744 is a wasteful number, since it uses less digits than its factorization.

106566744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 106566744 is about 10323.1169711478. The cubic root of 106566744 is about 474.1043050558.

The spelling of 106566744 in words is "one hundred six million, five hundred sixty-six thousand, seven hundred forty-four".