10705820 has 24 divisors (see below), whose sum is σ = 22704864. Its totient is φ = 4239936.

The previous prime is 10705817. The next prime is 10705823. The reversal of 10705820 is 2850701.

It is an interprime number because it is at equal distance from previous prime (10705817) and next prime (10705823).

It is a super-2 number, since 2×10705820² = 229229163744800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10705823) 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 7 ways as a sum of consecutive naturals, for example, 539 + ... + 4658.

It is an arithmetic number, because the mean of its divisors is an integer number (946036).

Almost surely, 2^10705820 is an apocalyptic number.

10705820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10705820 is an abundant number, since it is smaller than the sum of its proper divisors (11999044).

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

10705820 is a wasteful number, since it uses less digits than its factorization.

10705820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5309 (or 5307 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 23.

The square root of 10705820 is about 3271.9749387793. The cubic root of 10705820 is about 220.3974907570.

The spelling of 10705820 in words is "ten million, seven hundred five thousand, eight hundred twenty".