106057944 has 128 divisors (see below), whose sum is σ = 311500800. Its totient is φ = 33384960.

The previous prime is 106057933. The next prime is 106057949. The reversal of 106057944 is 449750601.

106057944 is a `hidden beast` number, since 1 + 0 + 605 + 7 + 9 + 44 = 666.

It is a super-2 number, since 2×106057944² = 22496574971014272, 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 = 106057899 and 106057908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106057949) 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, 314544 + ... + 314880.

It is an arithmetic number, because the mean of its divisors is an integer number (2433600).

Almost surely, 2^106057944 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 106057944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155750400).

106057944 is an abundant number, since it is smaller than the sum of its proper divisors (205442856).

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

106057944 is a wasteful number, since it uses less digits than its factorization.

106057944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 106057944 is about 10298.4437659289. The cubic root of 106057944 is about 473.3485683562.

The spelling of 106057944 in words is "one hundred six million, fifty-seven thousand, nine hundred forty-four".