40105305 has 24 divisors (see below), whose sum is σ = 69683328. Its totient is φ = 21338016.

The previous prime is 40105291. The next prime is 40105319. The reversal of 40105305 is 50350104.

It is an interprime number because it is at equal distance from previous prime (40105291) and next prime (40105319).

It is not a de Polignac number, because 40105305 - 2⁸ = 40105049 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24544 + ... + 26126.

It is an arithmetic number, because the mean of its divisors is an integer number (2903472).

Almost surely, 2^40105305 is an apocalyptic number.

40105305 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40105305 is a deficient number, since it is larger than the sum of its proper divisors (29578023).

40105305 is a wasteful number, since it uses less digits than its factorization.

40105305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2157 (or 2154 counting only the distinct ones).

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

The square root of 40105305 is about 6332.8749395515. The cubic root of 40105305 is about 342.2950413849.

Adding to 40105305 its reverse (50350104), we get a palindrome (90455409).

The spelling of 40105305 in words is "forty million, one hundred five thousand, three hundred five".