10605098363209 has 81 divisors (see below), whose sum is σ = 13084466170503. Its totient is φ = 8569772770944.

The previous prime is 10605098363183. The next prime is 10605098363213. The reversal of 10605098363209 is 90236389050601.

The square root of 10605098363209 is 3256547.

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

It can be written as a sum of positive squares in only one way, i.e., 186870321225 + 10418228041984 = 432285^2 + 3227728^2 .

It is not a de Polignac number, because 10605098363209 - 2⁷ = 10605098363081 is a prime.

It is a super-2 number, since 2×10605098363209² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10605098363809) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 59246359482 + ... + 59246359660.

Almost surely, 2^{10605098363209} is an apocalyptic number.

10605098363209 is the 3256547-th square number.

10605098363209 is the 1628274-th centered octagonal number.

It is an amenable number.

10605098363209 is a deficient number, since it is larger than the sum of its proper divisors (2479367807294).

10605098363209 is an frugal number, since it uses more digits than its factorization.

10605098363209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 52.

The spelling of 10605098363209 in words is "ten trillion, six hundred five billion, ninety-eight million, three hundred sixty-three thousand, two hundred nine".