107338614705 has 96 divisors (see below), whose sum is σ = 213791086080. Its totient is φ = 48802590720.

The previous prime is 107338614683. The next prime is 107338614727. The reversal of 107338614705 is 507416833701.

It is an interprime number because it is at equal distance from previous prime (107338614683) and next prime (107338614727).

It is not a de Polignac number, because 107338614705 - 2²⁹ = 106801743793 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon 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, 51579265 + ... + 51581345.

It is an arithmetic number, because the mean of its divisors is an integer number (2226990480).

Almost surely, 2^107338614705 is an apocalyptic number.

107338614705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

107338614705 is a deficient number, since it is larger than the sum of its proper divisors (106452471375).

107338614705 is a wasteful number, since it uses less digits than its factorization.

107338614705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2911 (or 2908 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 107338614705 in words is "one hundred seven billion, three hundred thirty-eight million, six hundred fourteen thousand, seven hundred five".