905105 has 8 divisors (see below), whose sum is σ = 1093992. Its totient is φ = 718848.

The previous prime is 905087. The next prime is 905111. The reversal of 905105 is 501509.

It can be written as a sum of positive squares in 4 ways, for example, as 118336 + 786769 = 344^2 + 887^2 .

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 905105 - 2¹² = 901009 is a prime.

It is a super-2 number, since 2×905105² = 1638430122050, which contains 22 as substring.

It is a Duffinian number.

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, 209 + ... + 1361.

It is an arithmetic number, because the mean of its divisors is an integer number (136749).

2⁹⁰⁵¹⁰⁵ is an apocalyptic number.

It is an amenable number.

905105 is a deficient number, since it is larger than the sum of its proper divisors (188887).

905105 is a wasteful number, since it uses less digits than its factorization.

905105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1315.

The product of its (nonzero) digits is 225, while the sum is 20.

The square root of 905105 is about 951.3700646962. The cubic root of 905105 is about 96.7311434027.

The spelling of 905105 in words is "nine hundred five thousand, one hundred five".