107338385459775 has 48 divisors (see below), whose sum is σ = 180377779230080. Its totient is φ = 56307922070400.

The previous prime is 107338385459729. The next prime is 107338385459779. The reversal of 107338385459775 is 577954583833701.

It is a Cunningham number, because it is equal to 10360424²-1.

It is not a de Polignac number, because 107338385459775 - 2¹⁷ = 107338385328703 is a prime.

It is a super-2 number, since 2×107338385459775² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (75).

It is a junction number, because it is equal to n+sod(n) for n = 107338385459697 and 107338385459706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107338385459779) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 631901004 + ... + 632070846.

Almost surely, 2^{107338385459775} is an apocalyptic number.

107338385459775 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

107338385459775 is a deficient number, since it is larger than the sum of its proper divisors (73039393770305).

107338385459775 is a wasteful number, since it uses less digits than its factorization.

107338385459775 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308056 (or 308051 counting only the distinct ones).

The product of its (nonzero) digits is 2667168000, while the sum is 75.

The spelling of 107338385459775 in words is "one hundred seven trillion, three hundred thirty-eight billion, three hundred eighty-five million, four hundred fifty-nine thousand, seven hundred seventy-five".