107741134368 has 384 divisors, whose sum is σ = 371364618240. Its totient is φ = 29750353920.

The previous prime is 107741134357. The next prime is 107741134373. The reversal of 107741134368 is 863431147701.

107741134368 is a `hidden beast` number, since 107 + 74 + 113 + 4 + 368 = 666.

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 63 ways as a sum of consecutive naturals, for example, 25224073 + ... + 25228343.

It is an arithmetic number, because the mean of its divisors is an integer number (967095360).

Almost surely, 2^107741134368 is an apocalyptic number.

107741134368 is a gapful number since it is divisible by the number (18) 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 107741134368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185682309120).

107741134368 is an abundant number, since it is smaller than the sum of its proper divisors (263623483872).

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

107741134368 is a wasteful number, since it uses less digits than its factorization.

107741134368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4437 (or 4423 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 107741134368 in words is "one hundred seven billion, seven hundred forty-one million, one hundred thirty-four thousand, three hundred sixty-eight".