106549344 has 240 divisors, whose sum is σ = 354560976. Its totient is φ = 31104000.

The previous prime is 106549337. The next prime is 106549367. The reversal of 106549344 is 443945601.

106549344 is a `hidden beast` number, since 106 + 549 + 3 + 4 + 4 = 666.

It is a super-2 number, since 2×106549344² = 22705525413660672, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 = 106549299 and 106549308.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 1054894 + ... + 1054994.

Almost surely, 2^106549344 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 106549344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177280488).

106549344 is an abundant number, since it is smaller than the sum of its proper divisors (248011632).

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

106549344 is a wasteful number, since it uses less digits than its factorization.

106549344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 106549344 is about 10322.2741680310. The cubic root of 106549344 is about 474.0785000575.

The spelling of 106549344 in words is "one hundred six million, five hundred forty-nine thousand, three hundred forty-four".