107799824160 has 768 divisors, whose sum is σ = 446835916800. Its totient is φ = 23762460672.

The previous prime is 107799824147. The next prime is 107799824161. The reversal of 107799824160 is 61428997701.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 107799824097 and 107799824106.

It is not an unprimeable number, because it can be changed into a prime (107799824161) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 103752921 + ... + 103753959.

It is an arithmetic number, because the mean of its divisors is an integer number (581817600).

Almost surely, 2^107799824160 is an apocalyptic number.

107799824160 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 107799824160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223417958400).

107799824160 is an abundant number, since it is smaller than the sum of its proper divisors (339036092640).

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

107799824160 is a wasteful number, since it uses less digits than its factorization.

107799824160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 107799824160 in words is "one hundred seven billion, seven hundred ninety-nine million, eight hundred twenty-four thousand, one hundred sixty".