106320006 has 128 divisors (see below), whose sum is σ = 275788800. Its totient is φ = 30067200.

The previous prime is 106320001. The next prime is 106320013. The reversal of 106320006 is 600023601.

It is a happy number.

It is a super-2 number, since 2×106320006² = 22607887351680072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106320001) 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 63 ways as a sum of consecutive naturals, for example, 704031 + ... + 704181.

It is an arithmetic number, because the mean of its divisors is an integer number (2154600).

Almost surely, 2^106320006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106320006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137894400).

106320006 is an abundant number, since it is smaller than the sum of its proper divisors (169468794).

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

106320006 is a wasteful number, since it uses less digits than its factorization.

106320006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 106320006 is about 10311.1592946671. The cubic root of 106320006 is about 473.7381184378.

Adding to 106320006 its reverse (600023601), we get a palindrome (706343607).

The spelling of 106320006 in words is "one hundred six million, three hundred twenty thousand, six".