405300105 has 40 divisors (see below), whose sum is σ = 830334912. Its totient is φ = 185278752.

The previous prime is 405300083. The next prime is 405300113. The reversal of 405300105 is 501003504.

It is not a de Polignac number, because 405300105 - 2⁵ = 405300073 is a prime.

It is a super-2 number, since 2×405300105² = 328536350226022050, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 68647 + ... + 74316.

Almost surely, 2^405300105 is an apocalyptic number.

405300105 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

405300105 is an abundant number, since it is smaller than the sum of its proper divisors (425034807).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

405300105 is a wasteful number, since it uses less digits than its factorization.

405300105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142987 (or 142978 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 405300105 is about 20132.0665854254. The cubic root of 405300105 is about 740.0463234941.

Adding to 405300105 its reverse (501003504), we get a palindrome (906303609).

The spelling of 405300105 in words is "four hundred five million, three hundred thousand, one hundred five".