107720917920 has 1728 divisors, whose sum is σ = 498637181952. Its totient is φ = 21076070400.

The previous prime is 107720917891. The next prime is 107720917939. The reversal of 107720917920 is 29719027701.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2911376142 + ... + 2911376178.

It is an arithmetic number, because the mean of its divisors is an integer number (288563184).

Almost surely, 2^107720917920 is an apocalyptic number.

107720917920 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 107720917920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249318590976).

107720917920 is an abundant number, since it is smaller than the sum of its proper divisors (390916264032).

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

107720917920 is a wasteful number, since it uses less digits than its factorization.

107720917920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 111132, while the sum is 45.

The spelling of 107720917920 in words is "one hundred seven billion, seven hundred twenty million, nine hundred seventeen thousand, nine hundred twenty".