10705830 has 32 divisors (see below), whose sum is σ = 25869024. Its totient is φ = 2835456.

The previous prime is 10705823. The next prime is 10705831. The reversal of 10705830 is 3850701.

It is a super-2 number, since 2×10705830² = 229229591977800, which contains 22 as substring.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10705830.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10705831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3574 + ... + 5846.

It is an arithmetic number, because the mean of its divisors is an integer number (808407).

Almost surely, 2^10705830 is an apocalyptic number.

10705830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10705830 is an abundant number, since it is smaller than the sum of its proper divisors (15163194).

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

10705830 is a wasteful number, since it uses less digits than its factorization.

10705830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2440.

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 10705830 is about 3271.9764669080. The cubic root of 10705830 is about 220.3975593793.

The spelling of 10705830 in words is "ten million, seven hundred five thousand, eight hundred thirty".