105805490 has 96 divisors (see below), whose sum is σ = 237012480. Its totient is φ = 33291648.

The previous prime is 105805489. The next prime is 105805517. The reversal of 105805490 is 94508501.

It is a super-2 number, since 2×105805490² = 22389603428280200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1339271 + ... + 1339349.

It is an arithmetic number, because the mean of its divisors is an integer number (2468880).

Almost surely, 2^105805490 is an apocalyptic number.

105805490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105805490 is an abundant number, since it is smaller than the sum of its proper divisors (131206990).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105805490 is a wasteful number, since it uses less digits than its factorization.

105805490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 32.

The square root of 105805490 is about 10286.1795628892. The cubic root of 105805490 is about 472.9726930675.

The spelling of 105805490 in words is "one hundred five million, eight hundred five thousand, four hundred ninety".