105616729 has 9 divisors (see below), whose sum is σ = 108584373. Its totient is φ = 102728892.

The previous prime is 105616717. The next prime is 105616747. The reversal of 105616729 is 927616501.

The square root of 105616729 is 10277.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 105616729 - 2¹¹ = 105614681 is a prime.

It is a super-2 number, since 2×105616729² = 22309786889318882, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105616769) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 441792 + ... + 442030.

Almost surely, 2^105616729 is an apocalyptic number.

105616729 is the 10277-th square number.

105616729 is the 5139-th centered octagonal number.

It is an amenable number.

105616729 is a deficient number, since it is larger than the sum of its proper divisors (2967644).

105616729 is an frugal number, since it uses more digits than its factorization.

105616729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 37.

The cubic root of 105616729 is about 472.6912585741.

The spelling of 105616729 in words is "one hundred five million, six hundred sixteen thousand, seven hundred twenty-nine".