106405344 has 72 divisors (see below), whose sum is σ = 308343672. Its totient is φ = 34794240.

The previous prime is 106405333. The next prime is 106405399. The reversal of 106405344 is 443504601.

106405344 is a `hidden beast` number, since 10 + 640 + 5 + 3 + 4 + 4 = 666.

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

It is a super-2 number, since 2×106405344² = 22644194463516672, which contains 22 as substring.

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, 11779 + ... + 18749.

It is an arithmetic number, because the mean of its divisors is an integer number (4282551).

Almost surely, 2^106405344 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 106405344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154171836).

106405344 is an abundant number, since it is smaller than the sum of its proper divisors (201938328).

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

106405344 is a wasteful number, since it uses less digits than its factorization.

106405344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7040 (or 7029 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 106405344 is about 10315.2966026189. The cubic root of 106405344 is about 473.8648335419.

Adding to 106405344 its reverse (443504601), we get a palindrome (549909945).

It can be divided in two parts, 106 and 405344, that added together give a triangular number (405450 = T₉₀₀).

The spelling of 106405344 in words is "one hundred six million, four hundred five thousand, three hundred forty-four".