107306640000 has 1280 divisors, whose sum is σ = 464971161600. Its totient is φ = 23846400000.

The previous prime is 107306639969. The next prime is 107306640011. The reversal of 107306640000 is 46603701.

107306640000 is a `hidden beast` number, since 10 + 7 + 3 + 0 + 6 + 640 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 710639925 + ... + 710640075.

It is an arithmetic number, because the mean of its divisors is an integer number (363258720).

Almost surely, 2^107306640000 is an apocalyptic number.

107306640000 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 107306640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232485580800).

107306640000 is an abundant number, since it is smaller than the sum of its proper divisors (357664521600).

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

107306640000 is an equidigital number, since it uses as much as digits as its factorization.

107306640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 107306640000 in words is "one hundred seven billion, three hundred six million, six hundred forty thousand".