105729793 has 8 divisors (see below), whose sum is σ = 113957928. Its totient is φ = 97515264.

The previous prime is 105729773. The next prime is 105729797. The reversal of 105729793 is 397927501.

It can be written as a sum of positive squares in 4 ways, for example, as 2849344 + 102880449 = 1688^2 + 10143^2 .

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 105729793 - 2⁵ = 105729761 is a prime.

It is a super-2 number, since 2×105729793² = 22357578255645698, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105729797) 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, 17571 + ... + 22807.

It is an arithmetic number, because the mean of its divisors is an integer number (14244741).

Almost surely, 2^105729793 is an apocalyptic number.

105729793 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

105729793 is a deficient number, since it is larger than the sum of its proper divisors (8228135).

105729793 is a wasteful number, since it uses less digits than its factorization.

105729793 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6803.

The product of its (nonzero) digits is 119070, while the sum is 43.

The square root of 105729793 is about 10282.4993557014. The cubic root of 105729793 is about 472.8598723450.

The spelling of 105729793 in words is "one hundred five million, seven hundred twenty-nine thousand, seven hundred ninety-three".