900105 has 16 divisors (see below), whose sum is σ = 1503360. Its totient is φ = 459008.

The previous prime is 900103. The next prime is 900121. The reversal of 900105 is 501009.

900105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 900105 - 2¹ = 900103 is a prime.

It is a super-2 number, since 2×900105² = 1620378022050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (900103) 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, 960 + ... + 1649.

It is an arithmetic number, because the mean of its divisors is an integer number (93960).

2⁹⁰⁰¹⁰⁵ is an apocalyptic number.

It is an amenable number.

900105 is a deficient number, since it is larger than the sum of its proper divisors (603255).

900105 is a wasteful number, since it uses less digits than its factorization.

900105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2640.

The product of its (nonzero) digits is 45, while the sum is 15.

The square root of 900105 is about 948.7386362956. The cubic root of 900105 is about 96.5526929955.

The spelling of 900105 in words is "nine hundred thousand, one hundred five".