103131803876689 has 81 divisors (see below), whose sum is σ = 126490811023899. Its totient is φ = 83837967464160.

The previous prime is 103131803876687. The next prime is 103131803876719. The reversal of 103131803876689 is 986678308131301.

The square root of 103131803876689 is 10155383.

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., 74347420025025 + 28784383851664 = 8622495^2 + 5365108^2 .

It is not a de Polignac number, because 103131803876689 - 2¹ = 103131803876687 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 103131803876689.

It is not an unprimeable number, because it can be changed into a prime (103131803876681) 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, 116797059442 + ... + 116797060324.

Almost surely, 2^{103131803876689} is an apocalyptic number.

103131803876689 is the 10155383-rd square number.

103131803876689 is the 5077692-nd centered octagonal number.

It is an amenable number.

103131803876689 is a deficient number, since it is larger than the sum of its proper divisors (23359007147210).

103131803876689 is an frugal number, since it uses more digits than its factorization.

103131803876689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1948 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 64.

The spelling of 103131803876689 in words is "one hundred three trillion, one hundred thirty-one billion, eight hundred three million, eight hundred seventy-six thousand, six hundred eighty-nine".