108957042186001 has 9 divisors (see below), whose sum is σ = 110047570612753. Its totient is φ = 107877215765200.

The previous prime is 108957042185993. The next prime is 108957042186007. The reversal of 108957042186001 is 100681240759801.

The square root of 108957042186001 is 10438249.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3040834952401 + 105916207233600 = 1743799^2 + 10291560^2 .

It is not a de Polignac number, because 108957042186001 - 2³ = 108957042185993 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 108957042186001.

It is not an unprimeable number, because it can be changed into a prime (108957042186007) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1054211475 + ... + 1054314823.

Almost surely, 2^{108957042186001} is an apocalyptic number.

108957042186001 is the 10438249-th square number.

108957042186001 is the 5219125-th centered octagonal number.

It is an amenable number.

108957042186001 is a deficient number, since it is larger than the sum of its proper divisors (1090528426752).

108957042186001 is an frugal number, since it uses more digits than its factorization.

108957042186001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206900 (or 103450 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 52.

The spelling of 108957042186001 in words is "one hundred eight trillion, nine hundred fifty-seven billion, forty-two million, one hundred eighty-six thousand, one".