106712807320 has 128 divisors (see below), whose sum is σ = 290933596800. Its totient is φ = 34389098496.

The previous prime is 106712807293. The next prime is 106712807339. The reversal of 106712807320 is 23708217601.

It is a super-2 number, since 2×106712807320² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106712807320.

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 31 ways as a sum of consecutive naturals, for example, 3645864 + ... + 3675016.

It is an arithmetic number, because the mean of its divisors is an integer number (2272918725).

Almost surely, 2^106712807320 is an apocalyptic number.

106712807320 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 106712807320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145466798400).

106712807320 is an abundant number, since it is smaller than the sum of its proper divisors (184220789480).

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

106712807320 is a wasteful number, since it uses less digits than its factorization.

106712807320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29957 (or 29953 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 37.

The spelling of 106712807320 in words is "one hundred six billion, seven hundred twelve million, eight hundred seven thousand, three hundred twenty".