107300382336 has 1152 divisors, whose sum is σ = 407398118400. Its totient is φ = 26475724800.

The previous prime is 107300382311. The next prime is 107300382379. The reversal of 107300382336 is 633283003701.

It is a happy number.

107300382336 is a `hidden beast` number, since 10 + 7 + 300 + 3 + 8 + 2 + 336 = 666.

107300382336 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 107300382336.

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 143 ways as a sum of consecutive naturals, for example, 2617082476 + ... + 2617082516.

It is an arithmetic number, because the mean of its divisors is an integer number (353644200).

Almost surely, 2^107300382336 is an apocalyptic number.

107300382336 is a gapful number since it is divisible by the number (16) 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 107300382336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203699059200).

107300382336 is an abundant number, since it is smaller than the sum of its proper divisors (300097736064).

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

107300382336 is a wasteful number, since it uses less digits than its factorization.

107300382336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 107300382336 in words is "one hundred seven billion, three hundred million, three hundred eighty-two thousand, three hundred thirty-six".