10200394009 has 27 divisors (see below), whose sum is σ = 11759076567. Its totient is φ = 8842489344.

The previous prime is 10200394007. The next prime is 10200394019. The reversal of 10200394009 is 90049300201.

It is a happy number.

The square root of 10200394009 is 100997.

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

It can be written as a sum of positive squares in 13 ways, for example, as 2105433225 + 8094960784 = 45885^2 + 89972^2 .

It is not a de Polignac number, because 10200394009 - 2¹ = 10200394007 is a prime.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10200394003) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 22320109 + ... + 22320565.

Almost surely, 2^10200394009 is an apocalyptic number.

10200394009 is the 100997-th square number.

10200394009 is the 50499-th centered octagonal number.

It is an amenable number.

10200394009 is a deficient number, since it is larger than the sum of its proper divisors (1558682558).

10200394009 is an frugal number, since it uses more digits than its factorization.

10200394009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The spelling of 10200394009 in words is "ten billion, two hundred million, three hundred ninety-four thousand, nine".