108071555688009 has 45 divisors (see below), whose sum is σ = 168767905902519. Its totient is φ = 68913822692880.

The previous prime is 108071555687903. The next prime is 108071555688011. The reversal of 108071555688009 is 900886555170801.

The square root of 108071555688009 is 10395747.

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

108071555688009 is a `hidden beast` number, since 1 + 0 + 8 + 0 + 71 + 5 + 556 + 8 + 8 + 0 + 0 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 15421305438009 + 92650250250000 = 3926997^2 + 9625500^2 .

It is not a de Polignac number, because 108071555688009 - 2¹⁹ = 108071555163721 is a prime.

It is a super-2 number, since 2×108071555688009² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (108071555688049) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2151894519 + ... + 2151944739.

Almost surely, 2^{108071555688009} is an apocalyptic number.

108071555688009 is the 10395747-th square number.

108071555688009 is the 5197874-th centered octagonal number.

It is an amenable number.

108071555688009 is a deficient number, since it is larger than the sum of its proper divisors (60696350214510).

108071555688009 is an frugal number, since it uses more digits than its factorization.

108071555688009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100500 (or 50247 counting only the distinct ones).

The product of its (nonzero) digits is 24192000, while the sum is 63.

The spelling of 108071555688009 in words is "one hundred eight trillion, seventy-one billion, five hundred fifty-five million, six hundred eighty-eight thousand, nine".