106008366120 has 128 divisors (see below), whose sum is σ = 326263766400. Its totient is φ = 27539979264.

The previous prime is 106008366089. The next prime is 106008366133. The reversal of 106008366120 is 21663800601.

It is a super-2 number, since 2×106008366120² (a number of 23 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 1980834 + ... + 2033646.

It is an arithmetic number, because the mean of its divisors is an integer number (2548935675).

Almost surely, 2^106008366120 is an apocalyptic number.

106008366120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106008366120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163131883200).

106008366120 is an abundant number, since it is smaller than the sum of its proper divisors (220255400280).

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

106008366120 is a wasteful number, since it uses less digits than its factorization.

106008366120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53259 (or 53255 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The spelling of 106008366120 in words is "one hundred six billion, eight million, three hundred sixty-six thousand, one hundred twenty".