107309934673920 has 896 divisors, whose sum is σ = 421241409280080. Its totient is φ = 26014211112960.

The previous prime is 107309934673829. The next prime is 107309934674017. The reversal of 107309934673920 is 29376439903701.

107309934673920 is a `hidden beast` number, since 1 + 0 + 7 + 30 + 9 + 93 + 467 + 39 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1313792122 + ... + 1313873798.

Almost surely, 2^{107309934673920} is an apocalyptic number.

107309934673920 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 107309934673920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210620704640040).

107309934673920 is an abundant number, since it is smaller than the sum of its proper divisors (313931474606160).

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

107309934673920 is an frugal number, since it uses more digits than its factorization.

107309934673920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81741 (or 81698 counting only the distinct ones).

The product of its (nonzero) digits is 46294416, while the sum is 63.

The spelling of 107309934673920 in words is "one hundred seven trillion, three hundred nine billion, nine hundred thirty-four million, six hundred seventy-three thousand, nine hundred twenty".