106009344 has 216 divisors, whose sum is σ = 365835120. Its totient is φ = 30191616.

The previous prime is 106009327. The next prime is 106009361. The reversal of 106009344 is 443900601.

106009344 is a `hidden beast` number, since 10 + 600 + 9 + 3 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (106009327) and next prime (106009361).

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×106009344² = 22475962030620672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 338532 + ... + 338844.

Almost surely, 2^106009344 is an apocalyptic number.

106009344 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 106009344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182917560).

106009344 is an abundant number, since it is smaller than the sum of its proper divisors (259825776).

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

106009344 is an equidigital number, since it uses as much as digits as its factorization.

106009344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 106009344 is about 10296.0839157419. The cubic root of 106009344 is about 473.2762548819.

Adding to 106009344 its reverse (443900601), we get a palindrome (549909945).

The spelling of 106009344 in words is "one hundred six million, nine thousand, three hundred forty-four".