10819205 has 6 divisors (see below), whose sum is σ = 12991878. Its totient is φ = 8649480.

The previous prime is 10819201. The next prime is 10819229. The reversal of 10819205 is 50291801.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 8655364 + 2163841 = 2942^2 + 1471^2 .

It is not a de Polignac number, because 10819205 - 2² = 10819201 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10819201) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6620 + ... + 8090.

It is an arithmetic number, because the mean of its divisors is an integer number (2165313).

Almost surely, 2^10819205 is an apocalyptic number.

It is an amenable number.

10819205 is a deficient number, since it is larger than the sum of its proper divisors (2172673).

10819205 is an frugal number, since it uses more digits than its factorization.

10819205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2947 (or 1476 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 26.

The square root of 10819205 is about 3289.2559949022. The cubic root of 10819205 is about 221.1728342303.

Multiplying 10819205 by its product of nonzero digits (720), we get a square (7789827600 = 88260²).

The spelling of 10819205 in words is "ten million, eight hundred nineteen thousand, two hundred five".