10209687849 has 45 divisors (see below), whose sum is σ = 15543609543. Its totient is φ = 6678538128.

The previous prime is 10209687827. The next prime is 10209687889. The reversal of 10209687849 is 94878690201.

The square root of 10209687849 is 101043.

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., 7116103449 + 3093584400 = 84357^2 + 55620^2 .

It is not a de Polignac number, because 10209687849 - 2²⁵ = 10176133417 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10209687795 and 10209687804.

It is not an unprimeable number, because it can be changed into a prime (10209687809) 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, 93666807 + ... + 93666915.

Almost surely, 2^10209687849 is an apocalyptic number.

10209687849 is the 101043-rd square number.

10209687849 is the 50522-nd centered octagonal number.

It is an amenable number.

10209687849 is a deficient number, since it is larger than the sum of its proper divisors (5333921694).

10209687849 is an frugal number, since it uses more digits than its factorization.

10209687849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

It can be divided in two parts, 1020 and 9687849, that added together give a palindrome (9688869).

The spelling of 10209687849 in words is "ten billion, two hundred nine million, six hundred eighty-seven thousand, eight hundred forty-nine".