105728029 has 8 divisors (see below), whose sum is σ = 115771680. Its totient is φ = 95756400.

The previous prime is 105728003. The next prime is 105728047. The reversal of 105728029 is 920827501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105728029 - 2²³ = 97339421 is a prime.

It is a super-2 number, since 2×105728029² = 22356832232449682, 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 = 105727985 and 105728003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105728429) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14907 + ... + 20824.

It is an arithmetic number, because the mean of its divisors is an integer number (14471460).

Almost surely, 2^105728029 is an apocalyptic number.

It is an amenable number.

105728029 is a deficient number, since it is larger than the sum of its proper divisors (10043651).

105728029 is a wasteful number, since it uses less digits than its factorization.

105728029 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36011.

The product of its (nonzero) digits is 10080, while the sum is 34.

The square root of 105728029 is about 10282.4135785330. The cubic root of 105728029 is about 472.8572425928.

The spelling of 105728029 in words is "one hundred five million, seven hundred twenty-eight thousand, twenty-nine".