10705321 has 16 divisors (see below), whose sum is σ = 12421440. Its totient is φ = 9132480.

The previous prime is 10705301. The next prime is 10705333. The reversal of 10705321 is 12350701.

10705321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10705321 - 2¹⁵ = 10672553 is a prime.

It is a super-2 number, since 2×10705321² = 229207795426082, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10705301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11350 + ... + 12256.

It is an arithmetic number, because the mean of its divisors is an integer number (776340).

Almost surely, 2^10705321 is an apocalyptic number.

10705321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10705321 is a deficient number, since it is larger than the sum of its proper divisors (1716119).

10705321 is a wasteful number, since it uses less digits than its factorization.

10705321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 984.

The product of its (nonzero) digits is 210, while the sum is 19.

The square root of 10705321 is about 3271.8986842505. The cubic root of 10705321 is about 220.3940664496.

It can be divided in two parts, 10705 and 321, that added together give a triangular number (11026 = T₁₄₈).

The spelling of 10705321 in words is "ten million, seven hundred five thousand, three hundred twenty-one".