107072166205 has 8 divisors (see below), whose sum is σ = 129811204152. Its totient is φ = 84774663168.

The previous prime is 107072166181. The next prime is 107072166251. The reversal of 107072166205 is 502661270701.

It can be written as a sum of positive squares in 4 ways, for example, as 29867098041 + 77205068164 = 172821^2 + 277858^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 107072166205 - 2¹³ = 107072158013 is a prime.

It is a super-2 number, since 2×107072166205² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110383192 + ... + 110384161.

It is an arithmetic number, because the mean of its divisors is an integer number (16226400519).

Almost surely, 2^107072166205 is an apocalyptic number.

It is an amenable number.

107072166205 is a deficient number, since it is larger than the sum of its proper divisors (22739037947).

107072166205 is an equidigital number, since it uses as much as digits as its factorization.

107072166205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220767455.

The product of its (nonzero) digits is 35280, while the sum is 37.

The spelling of 107072166205 in words is "one hundred seven billion, seventy-two million, one hundred sixty-six thousand, two hundred five".