107809621920 has 1536 divisors, whose sum is σ = 513559388160. Its totient is φ = 20397588480.

The previous prime is 107809621919. The next prime is 107809621937. The reversal of 107809621920 is 29126908701.

107809621920 is a `hidden beast` number, since 10 + 7 + 8 + 0 + 9 + 621 + 9 + 2 + 0 = 666.

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

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 255 ways as a sum of consecutive naturals, for example, 462702124 + ... + 462702356.

It is an arithmetic number, because the mean of its divisors is an integer number (334348560).

Almost surely, 2^107809621920 is an apocalyptic number.

107809621920 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 107809621920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256779694080).

107809621920 is an abundant number, since it is smaller than the sum of its proper divisors (405749766240).

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

107809621920 is a wasteful number, since it uses less digits than its factorization.

107809621920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 107809621920 in words is "one hundred seven billion, eight hundred nine million, six hundred twenty-one thousand, nine hundred twenty".