107016748800 has 864 divisors, whose sum is σ = 398128684800. Its totient is φ = 25293864960.

The previous prime is 107016748789. The next prime is 107016748801. The reversal of 107016748800 is 8847610701.

It is a happy number.

It is a super-2 number, since 2×107016748800² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107016748801) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1813843171 + ... + 1813843229.

Almost surely, 2^107016748800 is an apocalyptic number.

107016748800 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 107016748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199064342400).

107016748800 is an abundant number, since it is smaller than the sum of its proper divisors (291111936000).

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

107016748800 is an equidigital number, since it uses as much as digits as its factorization.

107016748800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 42.

The spelling of 107016748800 in words is "one hundred seven billion, sixteen million, seven hundred forty-eight thousand, eight hundred".