106329344 has 72 divisors (see below), whose sum is σ = 235714080. Its totient is φ = 47462400.

The previous prime is 106329337. The next prime is 106329347. The reversal of 106329344 is 443923601.

It is a super-2 number, since 2×106329344² = 22611858790940672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 106329344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106329347) 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 7 ways as a sum of consecutive naturals, for example, 171467 + ... + 172085.

Almost surely, 2^106329344 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 106329344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117857040).

106329344 is an abundant number, since it is smaller than the sum of its proper divisors (129384736).

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

106329344 is an equidigital number, since it uses as much as digits as its factorization.

106329344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 32.

The square root of 106329344 is about 10311.6120951091. The cubic root of 106329344 is about 473.7519873769.

The spelling of 106329344 in words is "one hundred six million, three hundred twenty-nine thousand, three hundred forty-four".