10821205 has 16 divisors (see below), whose sum is σ = 13803120. Its totient is φ = 8128512.

The previous prime is 10821199. The next prime is 10821221. The reversal of 10821205 is 50212801.

10821205 = T₂₀₇₈ + T₂₀₇₉ + ... + T₂₀₈₂.

10821205 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1340964 + 9480241 = 1158^2 + 3079^2 .

It is a cyclic number.

It is not a de Polignac number, because 10821205 - 2²³ = 2432597 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4357 + ... + 6373.

It is an arithmetic number, because the mean of its divisors is an integer number (862695).

Almost surely, 2^10821205 is an apocalyptic number.

It is an amenable number.

10821205 is a deficient number, since it is larger than the sum of its proper divisors (2981915).

10821205 is a wasteful number, since it uses less digits than its factorization.

10821205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2088.

The product of its (nonzero) digits is 160, while the sum is 19.

The square root of 10821205 is about 3289.5600009728. The cubic root of 10821205 is about 221.1864618001.

It can be divided in two parts, 10821 and 205, that added together give a triangular number (11026 = T₁₄₈).

The spelling of 10821205 in words is "ten million, eight hundred twenty-one thousand, two hundred five".