1066205210 has 64 divisors (see below), whose sum is σ = 2290464000. Its totient is φ = 357005376.

The previous prime is 1066205177. The next prime is 1066205219. The reversal of 1066205210 is 125026601.

It is a super-2 number, since 2×1066205210² = 2273587099662288200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1066205219) 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 31 ways as a sum of consecutive naturals, for example, 143876 + ... + 151104.

It is an arithmetic number, because the mean of its divisors is an integer number (35788500).

Almost surely, 2^1066205210 is an apocalyptic number.

1066205210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1066205210 is an abundant number, since it is smaller than the sum of its proper divisors (1224258790).

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

1066205210 is an equidigital number, since it uses as much as digits as its factorization.

1066205210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7300 (or 7286 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 1066205210 is about 32652.7978893080. The cubic root of 1066205210 is about 1021.5985475238.

The spelling of 1066205210 in words is "one billion, sixty-six million, two hundred five thousand, two hundred ten".