105867589129 has 9 divisors (see below), whose sum is σ = 106296531789. Its totient is φ = 105440374380.

The previous prime is 105867589073. The next prime is 105867589171. The reversal of 105867589129 is 921985768501.

The square root of 105867589129 is 325373.

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

It is not a de Polignac number, because 105867589129 - 2²³ = 105859200521 is a prime.

It is a super-2 number, since 2×105867589129² (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 (105867589229) 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, 107697972 + ... + 107698954.

Almost surely, 2^105867589129 is an apocalyptic number.

105867589129 is the 325373-rd square number.

105867589129 is the 162687-th centered octagonal number.

It is an amenable number.

105867589129 is a deficient number, since it is larger than the sum of its proper divisors (428942660).

105867589129 is an frugal number, since it uses more digits than its factorization.

105867589129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2628 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 61.

The spelling of 105867589129 in words is "one hundred five billion, eight hundred sixty-seven million, five hundred eighty-nine thousand, one hundred twenty-nine".