107507081100717 has 128 divisors (see below), whose sum is σ = 172446962688000. Its totient is φ = 65954150581248.

The previous prime is 107507081100691. The next prime is 107507081100739. The reversal of 107507081100717 is 717001180705701.

107507081100717 is a `hidden beast` number, since 10 + 7 + 507 + 0 + 8 + 110 + 0 + 7 + 17 = 666.

It is not a de Polignac number, because 107507081100717 - 2¹⁹ = 107507080576429 is a prime.

It is a super-2 number, since 2×107507081100717² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107507081100017) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1176347898 + ... + 1176439284.

It is an arithmetic number, because the mean of its divisors is an integer number (1347241896000).

Almost surely, 2^{107507081100717} is an apocalyptic number.

107507081100717 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

107507081100717 is a deficient number, since it is larger than the sum of its proper divisors (64939881587283).

107507081100717 is a wasteful number, since it uses less digits than its factorization.

107507081100717 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91832 (or 91826 counting only the distinct ones).

The product of its (nonzero) digits is 96040, while the sum is 45.

The spelling of 107507081100717 in words is "one hundred seven trillion, five hundred seven billion, eighty-one million, one hundred thousand, seven hundred seventeen".