105769129 has 6 divisors (see below), whose sum is σ = 108069674. Its totient is φ = 103516560.

The previous prime is 105769127. The next prime is 105769151. The reversal of 105769129 is 921967501.

It can be written as a sum of positive squares in only one way, i.e., 103063104 + 2706025 = 10152^2 + 1645^2 .

It is not a de Polignac number, because 105769129 - 2¹ = 105769127 is a prime.

It is a super-2 number, since 2×105769129² = 22374217298837282, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105769091 and 105769100.

It is not an unprimeable number, because it can be changed into a prime (105769127) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21732 + ... + 26149.

Almost surely, 2^105769129 is an apocalyptic number.

It is an amenable number.

105769129 is a deficient number, since it is larger than the sum of its proper divisors (2300545).

105769129 is an frugal number, since it uses more digits than its factorization.

105769129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47975 (or 47928 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 40.

The square root of 105769129 is about 10284.4119423524. The cubic root of 105769129 is about 472.9185064322.

The spelling of 105769129 in words is "one hundred five million, seven hundred sixty-nine thousand, one hundred twenty-nine".