10137871969 has 9 divisors (see below), whose sum is σ = 10244390611. Its totient is φ = 10032452680.

The previous prime is 10137871967. The next prime is 10137871993. The reversal of 10137871969 is 96917873101.

The square root of 10137871969 is 100687.

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., 6286428369 + 3851443600 = 79287^2 + 62060^2 .

It is not a de Polignac number, because 10137871969 - 2¹ = 10137871967 is a prime.

It is a super-2 number, since 2×10137871969² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10137871967) 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, 10773039 + ... + 10773979.

Almost surely, 2^10137871969 is an apocalyptic number.

10137871969 is the 100687-th square number.

10137871969 is the 50344-th centered octagonal number.

It is an amenable number.

10137871969 is a deficient number, since it is larger than the sum of its proper divisors (106518642).

10137871969 is an frugal number, since it uses more digits than its factorization.

10137871969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2096 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 52.

The spelling of 10137871969 in words is "ten billion, one hundred thirty-seven million, eight hundred seventy-one thousand, nine hundred sixty-nine".