10830105 has 120 divisors (see below), whose sum is σ = 24332616. Its totient is φ = 4561920.

The previous prime is 10830103. The next prime is 10830151. The reversal of 10830105 is 50103801.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 793881 + 10036224 = 891^2 + 3168^2 .

It is not a de Polignac number, because 10830105 - 2¹ = 10830103 is a prime.

It is a super-2 number, since 2×10830105² = 234582348622050, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10830101) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 637057 + ... + 637073.

Almost surely, 2^10830105 is an apocalyptic number.

10830105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10830105 is an abundant number, since it is smaller than the sum of its proper divisors (13502511).

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

10830105 is a wasteful number, since it uses less digits than its factorization.

10830105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 10830105 is about 3290.9124874417. The cubic root of 10830105 is about 221.2470841328.

Adding to 10830105 its reverse (50103801), we get a palindrome (60933906).

The spelling of 10830105 in words is "ten million, eight hundred thirty thousand, one hundred five".