107738107614 has 192 divisors, whose sum is σ = 264320050176. Its totient is φ = 32759230464.

The previous prime is 107738107591. The next prime is 107738107657. The reversal of 107738107614 is 416701837701.

107738107614 is a `hidden beast` number, since 10 + 7 + 7 + 3 + 8 + 10 + 7 + 614 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 107738107614.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 41548302 + ... + 41550894.

It is an arithmetic number, because the mean of its divisors is an integer number (1376666928).

Almost surely, 2^107738107614 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107738107614, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132160025088).

107738107614 is an abundant number, since it is smaller than the sum of its proper divisors (156581942562).

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

107738107614 is a wasteful number, since it uses less digits than its factorization.

107738107614 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2781 (or 2769 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The spelling of 107738107614 in words is "one hundred seven billion, seven hundred thirty-eight million, one hundred seven thousand, six hundred fourteen".