105054729 has 32 divisors (see below), whose sum is σ = 158323200. Its totient is φ = 61523712.

The previous prime is 105054709. The next prime is 105054757. The reversal of 105054729 is 927450501.

It is not a de Polignac number, because 105054729 - 2⁸ = 105054473 is a prime.

It is a super-2 number, since 2×105054729² = 22072992170526882, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 105054729.

It is not an unprimeable number, because it can be changed into a prime (105054709) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67047 + ... + 68595.

It is an arithmetic number, because the mean of its divisors is an integer number (4947600).

Almost surely, 2^105054729 is an apocalyptic number.

It is an amenable number.

105054729 is a deficient number, since it is larger than the sum of its proper divisors (53268471).

105054729 is a wasteful number, since it uses less digits than its factorization.

105054729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1649.

The product of its (nonzero) digits is 12600, while the sum is 33.

The square root of 105054729 is about 10249.6209198194. The cubic root of 105054729 is about 471.8513503578.

The spelling of 105054729 in words is "one hundred five million, fifty-four thousand, seven hundred twenty-nine".