105123147529 has 9 divisors (see below), whose sum is σ = 106346770023. Its totient is φ = 103913456592.

The previous prime is 105123147457. The next prime is 105123147581. The reversal of 105123147529 is 925741321501.

The square root of 105123147529 is 324227.

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., 20185873929 + 84937273600 = 142077^2 + 291440^2 .

It is not a de Polignac number, because 105123147529 - 2²⁹ = 104586276617 is a prime.

It is a super-2 number, since 2×105123147529² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105123147491 and 105123147500.

It is not an unprimeable number, because it can be changed into a prime (105123177529) 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, 28854382 + ... + 28858024.

Almost surely, 2^105123147529 is an apocalyptic number.

105123147529 is the 324227-th square number.

105123147529 is the 162114-th centered octagonal number.

It is an amenable number.

105123147529 is a deficient number, since it is larger than the sum of its proper divisors (1223622494).

105123147529 is an frugal number, since it uses more digits than its factorization.

105123147529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7464 (or 3732 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 40.

The spelling of 105123147529 in words is "one hundred five billion, one hundred twenty-three million, one hundred forty-seven thousand, five hundred twenty-nine".