105890905 has 8 divisors (see below), whose sum is σ = 130168584. Its totient is φ = 82646400.

The previous prime is 105890893. The next prime is 105890921. The reversal of 105890905 is 509098501.

It can be written as a sum of positive squares in 4 ways, for example, as 47961 + 105842944 = 219^2 + 10288^2 .

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

It is not a de Polignac number, because 105890905 - 2⁷ = 105890777 is a prime.

It is a super-2 number, since 2×105890905² = 22425767523438050, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

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, 258066 + ... + 258475.

It is an arithmetic number, because the mean of its divisors is an integer number (16271073).

Almost surely, 2^105890905 is an apocalyptic number.

It is an amenable number.

105890905 is a deficient number, since it is larger than the sum of its proper divisors (24277679).

105890905 is an equidigital number, since it uses as much as digits as its factorization.

105890905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516587.

The product of its (nonzero) digits is 16200, while the sum is 37.

The square root of 105890905 is about 10290.3306555232. The cubic root of 105890905 is about 473.0999331453.

The spelling of 105890905 in words is "one hundred five million, eight hundred ninety thousand, nine hundred five".