105057305 has 16 divisors (see below), whose sum is σ = 128024064. Its totient is φ = 82752000.

The previous prime is 105057301. The next prime is 105057313. The reversal of 105057305 is 503750501.

105057305 is nontrivially palindromic in base 4.

It is not a de Polignac number, because 105057305 - 2² = 105057301 is a prime.

It is a super-2 number, since 2×105057305² = 22074074667726050, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105057301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121304 + ... + 122166.

It is an arithmetic number, because the mean of its divisors is an integer number (8001504).

Almost surely, 2^105057305 is an apocalyptic number.

It is an amenable number.

105057305 is a deficient number, since it is larger than the sum of its proper divisors (22966759).

105057305 is an equidigital number, since it uses as much as digits as its factorization.

105057305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1216.

The product of its (nonzero) digits is 2625, while the sum is 26.

The square root of 105057305 is about 10249.7465822331. The cubic root of 105057305 is about 471.8552070115.

The spelling of 105057305 in words is "one hundred five million, fifty-seven thousand, three hundred five".