105138630286369 has 3 divisors (see below), whose sum is σ = 105138640540083. Its totient is φ = 105138620032656.

The previous prime is 105138630286363. The next prime is 105138630286429. The reversal of 105138630286369 is 963682036831501.

The square root of 105138630286369 is 10253713.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 62261173830625 + 42877456455744 = 7890575^2 + 6548088^2 .

It is not a de Polignac number, because 105138630286369 - 2²⁵ = 105138596731937 is a prime.

It is a super-2 number, since 2×105138630286369² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105138630286363) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 5126857 + ... + 15380569.

It is an arithmetic number, because the mean of its divisors is an integer number (35046213513361).

Almost surely, 2^{105138630286369} is an apocalyptic number.

105138630286369 is the 10253713-rd square number.

105138630286369 is the 5126857-th centered octagonal number.

It is an amenable number.

105138630286369 is a deficient number, since it is larger than the sum of its proper divisors (10253714).

105138630286369 is an frugal number, since it uses more digits than its factorization.

105138630286369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20507426 (or 10253713 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 61.

The spelling of 105138630286369 in words is "one hundred five trillion, one hundred thirty-eight billion, six hundred thirty million, two hundred eighty-six thousand, three hundred sixty-nine".