331229106 has 96 divisors (see below), whose sum is σ = 807014208. Its totient is φ = 97511040.

The previous prime is 331229099. The next prime is 331229111. The reversal of 331229106 is 601922133.

331229106 is a `hidden beast` number, since 331 + 229 + 106 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 331229106.

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 47 ways as a sum of consecutive naturals, for example, 579801 + ... + 580371.

It is an arithmetic number, because the mean of its divisors is an integer number (8406398).

Almost surely, 2^331229106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331229106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403507104).

331229106 is an abundant number, since it is smaller than the sum of its proper divisors (475785102).

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

331229106 is a wasteful number, since it uses less digits than its factorization.

331229106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 331229106 is about 18199.7007118249. The cubic root of 331229106 is about 691.8992037469.

The spelling of 331229106 in words is "three hundred thirty-one million, two hundred twenty-nine thousand, one hundred six".