107338405944 has 384 divisors, whose sum is σ = 353990246400. Its totient is φ = 26514259200.

The previous prime is 107338405901. The next prime is 107338406027. The reversal of 107338405944 is 449504833701.

It is a super-2 number, since 2×107338405944² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 107338405893 and 107338405902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37178469 + ... + 37181355.

It is an arithmetic number, because the mean of its divisors is an integer number (921849600).

Almost surely, 2^107338405944 is an apocalyptic number.

107338405944 is a gapful number since it is divisible by the number (14) 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 107338405944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176995123200).

107338405944 is an abundant number, since it is smaller than the sum of its proper divisors (246651840456).

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

107338405944 is a wasteful number, since it uses less digits than its factorization.

107338405944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3015 (or 3000 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 107338405944 in words is "one hundred seven billion, three hundred thirty-eight million, four hundred five thousand, nine hundred forty-four".