107338893816 has 288 divisors, whose sum is σ = 355797429120. Its totient is φ = 26411045760.

The previous prime is 107338893733. The next prime is 107338893859. The reversal of 107338893816 is 618398833701.

107338893816 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7331095 + ... + 7345721.

It is an arithmetic number, because the mean of its divisors is an integer number (1235407740).

Almost surely, 2^107338893816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107338893816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177898714560).

107338893816 is an abundant number, since it is smaller than the sum of its proper divisors (248458535304).

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

107338893816 is a wasteful number, since it uses less digits than its factorization.

107338893816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14703 (or 14669 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 57.

The spelling of 107338893816 in words is "one hundred seven billion, three hundred thirty-eight million, eight hundred ninety-three thousand, eight hundred sixteen".