40105 has 8 divisors (see below), whose sum is σ = 51912. Its totient is φ = 29568.

The previous prime is 40099. The next prime is 40111. The reversal of 40105 is 50104.

40105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40099) and next prime (40111).

It can be written as a sum of positive squares in 4 ways, for example, as 1296 + 38809 = 36^2 + 197^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-40105 is a prime.

It is a super-2 number, since 2×40105² = 3216822050, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 40091 and 40100.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 244 + ... + 373.

It is an arithmetic number, because the mean of its divisors is an integer number (6489).

2⁴⁰¹⁰⁵ is an apocalyptic number.

It is an amenable number.

40105 is a deficient number, since it is larger than the sum of its proper divisors (11807).

40105 is a wasteful number, since it uses less digits than its factorization.

40105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635.

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 40105 is about 200.2623279601. The cubic root of 40105 is about 34.2294173667.

Adding to 40105 its reverse (50104), we get a palindrome (90209).

Subtracting 40105 from its reverse (50104), we obtain a palindrome (9999).

The spelling of 40105 in words is "forty thousand, one hundred five".