105729529 has 8 divisors (see below), whose sum is σ = 108790920. Its totient is φ = 102691200.

The previous prime is 105729523. The next prime is 105729553. The reversal of 105729529 is 925927501.

It can be written as a sum of positive squares in 4 ways, for example, as 45589504 + 60140025 = 6752^2 + 7755^2 .

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 105729529 - 2⁵ = 105729497 is a prime.

It is a super-2 number, since 2×105729529² = 22357466605123682, 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 = 105729491 and 105729500.

It is not an unprimeable number, because it can be changed into a prime (105729523) 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, 3759 + ... + 15019.

It is an arithmetic number, because the mean of its divisors is an integer number (13598865).

Almost surely, 2^105729529 is an apocalyptic number.

It is an amenable number.

105729529 is a deficient number, since it is larger than the sum of its proper divisors (3061391).

105729529 is a wasteful number, since it uses less digits than its factorization.

105729529 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11531.

The product of its (nonzero) digits is 56700, while the sum is 40.

The square root of 105729529 is about 10282.4865183476. The cubic root of 105729529 is about 472.8594787785.

The spelling of 105729529 in words is "one hundred five million, seven hundred twenty-nine thousand, five hundred twenty-nine".