107066165405750 has 32 divisors (see below), whose sum is σ = 212217735862080. Its totient is φ = 40307262268800.

The previous prime is 107066165405723. The next prime is 107066165405777. The reversal of 107066165405750 is 57504561660701.

It is an interprime number because it is at equal distance from previous prime (107066165405723) and next prime (107066165405777).

It is a super-2 number, since 2×107066165405750² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 107066165405692 and 107066165405701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12596015210 + ... + 12596023709.

It is an arithmetic number, because the mean of its divisors is an integer number (6631804245690).

Almost surely, 2^{107066165405750} is an apocalyptic number.

107066165405750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

107066165405750 is a deficient number, since it is larger than the sum of its proper divisors (105151570456330).

107066165405750 is a wasteful number, since it uses less digits than its factorization.

107066165405750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25192038953 (or 25192038943 counting only the distinct ones).

The product of its (nonzero) digits is 5292000, while the sum is 53.

The spelling of 107066165405750 in words is "one hundred seven trillion, sixty-six billion, one hundred sixty-five million, four hundred five thousand, seven hundred fifty".