105929 has 2 divisors, whose sum is σ = 105930. Its totient is φ = 105928.

The previous prime is 105913. The next prime is 105943. The reversal of 105929 is 929501.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104329 + 1600 = 323^2 + 40^2 .

It is an emirp because it is prime and its reverse (929501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105929 - 2⁴ = 105913 is a prime.

It is a super-2 number, since 2×105929² = 22441906082, which contains 22 as substring.

It is a Sophie Germain prime.

It is an Ulam number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 105898 and 105907.

It is not a weakly prime, because it can be changed into another prime (105229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52964 + 52965.

It is an arithmetic number, because the mean of its divisors is an integer number (52965).

2¹⁰⁵⁹²⁹ is an apocalyptic number.

It is an amenable number.

105929 is a deficient number, since it is larger than the sum of its proper divisors (1).

105929 is an equidigital number, since it uses as much as digits as its factorization.

105929 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 810, while the sum is 26.

The square root of 105929 is about 325.4673562740. The cubic root of 105929 is about 47.3156660023.

It can be divided in two parts, 10592 and 9, that added together give a palindrome (10601).

The spelling of 105929 in words is "one hundred five thousand, nine hundred twenty-nine".