108601225209 has 9 divisors (see below), whose sum is σ = 156869864463. Its totient is φ = 72400157712.

The previous prime is 108601225169. The next prime is 108601225219. The reversal of 108601225209 is 902522106801.

The square root of 108601225209 is 329547.

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

108601225209 is a `hidden beast` number, since 1 + 0 + 8 + 6 + 0 + 122 + 520 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10281351609 + 98319873600 = 101397^2 + 313560^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 108601225209 - 2¹⁷ = 108601094137 is a prime.

It is a super-2 number, since 2×108601225209² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (108601225219) 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, 933717 + ... + 1043565.

Almost surely, 2^108601225209 is an apocalyptic number.

108601225209 is the 329547-th square number.

108601225209 is the 164774-th centered octagonal number.

It is an amenable number.

108601225209 is a deficient number, since it is larger than the sum of its proper divisors (48268639254).

108601225209 is an frugal number, since it uses more digits than its factorization.

108601225209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219704 (or 109852 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

Multiplying 108601225209 by its sum of digits (36), we get a square (3909644107524 = 1977282²).

The spelling of 108601225209 in words is "one hundred eight billion, six hundred one million, two hundred twenty-five thousand, two hundred nine".