106667229120 has 112 divisors (see below), whose sum is σ = 339451919520. Its totient is φ = 28378791936.

The previous prime is 106667229061. The next prime is 106667229121. The reversal of 106667229120 is 21922766601.

106667229120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106667229120² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106667229121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 287376 + ... + 543984.

It is an arithmetic number, because the mean of its divisors is an integer number (3030820710).

Almost surely, 2^106667229120 is an apocalyptic number.

106667229120 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 106667229120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169725959760).

106667229120 is an abundant number, since it is smaller than the sum of its proper divisors (232784690400).

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

106667229120 is a wasteful number, since it uses less digits than its factorization.

106667229120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257062 (or 257052 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 106667229120 in words is "one hundred six billion, six hundred sixty-seven million, two hundred twenty-nine thousand, one hundred twenty".