105058312129 has 9 divisors (see below), whose sum is σ = 105673506211. Its totient is φ = 104446684480.

The previous prime is 105058312111. The next prime is 105058312133. The reversal of 105058312129 is 921213850501.

The square root of 105058312129 is 324127.

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., 101133540225 + 3924771904 = 318015^2 + 62648^2 .

It is not a de Polignac number, because 105058312129 - 2¹⁷ = 105058181057 is a prime.

It is a super-2 number, since 2×105058312129² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105058312159) 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, 61907409 + ... + 61909105.

Almost surely, 2^105058312129 is an apocalyptic number.

105058312129 is the 324127-th square number.

105058312129 is the 162064-th centered octagonal number.

It is an amenable number.

105058312129 is a deficient number, since it is larger than the sum of its proper divisors (615194082).

105058312129 is an frugal number, since it uses more digits than its factorization.

105058312129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3776 (or 1888 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 37.

The spelling of 105058312129 in words is "one hundred five billion, fifty-eight million, three hundred twelve thousand, one hundred twenty-nine".