107384455080 has 512 divisors, whose sum is σ = 431308800000. Its totient is φ = 23245470720.

The previous prime is 107384455069. The next prime is 107384455081. The reversal of 107384455080 is 80554483701.

107384455080 is a `hidden beast` number, since 10 + 7 + 3 + 8 + 4 + 4 + 550 + 80 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (107384455081) 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, 11010046 + ... + 11019794.

It is an arithmetic number, because the mean of its divisors is an integer number (842400000).

Almost surely, 2^107384455080 is an apocalyptic number.

107384455080 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 107384455080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215654400000).

107384455080 is an abundant number, since it is smaller than the sum of its proper divisors (323924344920).

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

107384455080 is a wasteful number, since it uses less digits than its factorization.

107384455080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9854 (or 9844 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 107384455080 in words is "one hundred seven billion, three hundred eighty-four million, four hundred fifty-five thousand, eighty".