105010 has 8 divisors (see below), whose sum is σ = 189036. Its totient is φ = 42000.

The previous prime is 104999. The next prime is 105019. The reversal of 105010 is 10501.

It can be written as a sum of positive squares in 2 ways, for example, as 101761 + 3249 = 319^2 + 57^2 .

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

It is a super-2 number, since 2×105010² = 22054200200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 104984 and 105002.

It is not an unprimeable number, because it can be changed into a prime (105019) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5241 + ... + 5260.

2¹⁰⁵⁰¹⁰ is an apocalyptic number.

105010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105010 is a deficient number, since it is larger than the sum of its proper divisors (84026).

105010 is a wasteful number, since it uses less digits than its factorization.

105010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10508.

The product of its (nonzero) digits is 5, while the sum is 7.

The square root of 105010 is about 324.0524648880. The cubic root of 105010 is about 47.1784374363.

Adding to 105010 its reverse (10501), we get a palindrome (115511).

The spelling of 105010 in words is "one hundred five thousand, ten".