105617129 has 4 divisors (see below), whose sum is σ = 108471684. Its totient is φ = 102762576.

The previous prime is 105617119. The next prime is 105617147. The reversal of 105617129 is 921716501.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 921716501 = 1783 ⋅516947.

It can be written as a sum of positive squares in 2 ways, for example, as 94381225 + 11235904 = 9715^2 + 3352^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105617129 is a prime.

It is a super-2 number, since 2×105617129² = 22309955876405282, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 105617095 and 105617104.

It is not an unprimeable number, because it can be changed into a prime (105617119) 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, 1427222 + ... + 1427295.

It is an arithmetic number, because the mean of its divisors is an integer number (27117921).

Almost surely, 2^105617129 is an apocalyptic number.

It is an amenable number.

105617129 is a deficient number, since it is larger than the sum of its proper divisors (2854555).

105617129 is an equidigital number, since it uses as much as digits as its factorization.

105617129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2854554.

The product of its (nonzero) digits is 3780, while the sum is 32.

The square root of 105617129 is about 10277.0194609138. The cubic root of 105617129 is about 472.6918553112.

The spelling of 105617129 in words is "one hundred five million, six hundred seventeen thousand, one hundred twenty-nine".