106006321330 has 64 divisors (see below), whose sum is σ = 247205064960. Its totient is φ = 31783497984.

The previous prime is 106006321301. The next prime is 106006321331. The reversal of 106006321330 is 33123600601.

It is a super-2 number, since 2×106006321330² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106006321295 and 106006321304.

It is not an unprimeable number, because it can be changed into a prime (106006321331) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3048249 + ... + 3082828.

It is an arithmetic number, because the mean of its divisors is an integer number (3862579140).

Almost surely, 2^106006321330 is an apocalyptic number.

106006321330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106006321330 is an abundant number, since it is smaller than the sum of its proper divisors (141198743630).

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

106006321330 is a wasteful number, since it uses less digits than its factorization.

106006321330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6131123.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 106006321330 its reverse (33123600601), we get a palindrome (139129921931).

The spelling of 106006321330 in words is "one hundred six billion, six million, three hundred twenty-one thousand, three hundred thirty".