105105129 has 4 divisors (see below), whose sum is σ = 140140176. Its totient is φ = 70070084.

The previous prime is 105105109. The next prime is 105105163. The reversal of 105105129 is 921501501.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 105105129 - 2⁸ = 105104873 is a prime.

It is a super-2 number, since 2×105105129² = 22094176284213282, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105105099 and 105105108.

It is not an unprimeable number, because it can be changed into a prime (105105109) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17517519 + ... + 17517524.

It is an arithmetic number, because the mean of its divisors is an integer number (35035044).

Almost surely, 2^105105129 is an apocalyptic number.

It is an amenable number.

105105129 is a deficient number, since it is larger than the sum of its proper divisors (35035047).

105105129 is an equidigital number, since it uses as much as digits as its factorization.

105105129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35035046.

The product of its (nonzero) digits is 450, while the sum is 24.

The square root of 105105129 is about 10252.0792525224. The cubic root of 105105129 is about 471.9267951800.

The spelling of 105105129 in words is "one hundred five million, one hundred five thousand, one hundred twenty-nine".