106810326 has 80 divisors (see below), whose sum is σ = 275996160. Its totient is φ = 30242160.

The previous prime is 106810309. The next prime is 106810351. The reversal of 106810326 is 623018601.

It is a super-2 number, since 2×106810326² = 22816891480452552, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 106810326.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 148195 + ... + 148913.

It is an arithmetic number, because the mean of its divisors is an integer number (3449952).

Almost surely, 2^106810326 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106810326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137998080).

106810326 is an abundant number, since it is smaller than the sum of its proper divisors (169185834).

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

106810326 is a wasteful number, since it uses less digits than its factorization.

106810326 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 106810326 is about 10334.9081273130. The cubic root of 106810326 is about 474.4652538049.

Adding to 106810326 its reverse (623018601), we get a palindrome (729828927).

The spelling of 106810326 in words is "one hundred six million, eight hundred ten thousand, three hundred twenty-six".