105290 has 8 divisors (see below), whose sum is σ = 189540. Its totient is φ = 42112.

The previous prime is 105277. The next prime is 105319. The reversal of 105290 is 92501.

It can be written as a sum of positive squares in 2 ways, for example, as 104329 + 961 = 323^2 + 31^2 .

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

It is a super-2 number, since 2×105290² = 22171968200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5255 + ... + 5274.

2¹⁰⁵²⁹⁰ is an apocalyptic number.

105290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105290 is a deficient number, since it is larger than the sum of its proper divisors (84250).

105290 is a wasteful number, since it uses less digits than its factorization.

105290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10536.

The product of its (nonzero) digits is 90, while the sum is 17.

The square root of 105290 is about 324.4842060871. The cubic root of 105290 is about 47.2203326169.

Adding to 105290 its reverse (92501), we get a palindrome (197791).

It can be divided in two parts, 10 and 5290, that multiplied together give a square (52900 = 230²).

The spelling of 105290 in words is "one hundred five thousand, two hundred ninety".