107120216720 has 80 divisors (see below), whose sum is σ = 272342122560. Its totient is φ = 38860147200.

The previous prime is 107120216713. The next prime is 107120216779. The reversal of 107120216720 is 27612021701.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×107120216720² (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 15 ways as a sum of consecutive naturals, for example, 225911 + ... + 515049.

It is an arithmetic number, because the mean of its divisors is an integer number (3404276532).

Almost surely, 2^107120216720 is an apocalyptic number.

107120216720 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 107120216720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136171061280).

107120216720 is an abundant number, since it is smaller than the sum of its proper divisors (165221905840).

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

107120216720 is a wasteful number, since it uses less digits than its factorization.

107120216720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289584 (or 289578 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 29.

The spelling of 107120216720 in words is "one hundred seven billion, one hundred twenty million, two hundred sixteen thousand, seven hundred twenty".