206934010000 has 75 divisors (see below), whose sum is σ = 501118091661. Its totient is φ = 82755408000.

The previous prime is 206934009949. The next prime is 206934010001. The reversal of 206934010000 is 10439602.

The square root of 206934010000 is 454900.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 111467841424 + 95466168576 = 333868^2 + 308976^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (206934010001) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 45487726 + ... + 45492274.

Almost surely, 2^206934010000 is an apocalyptic number.

206934010000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

206934010000 is the 454900-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206934010000

206934010000 is an abundant number, since it is smaller than the sum of its proper divisors (294184081661).

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

206934010000 is an frugal number, since it uses more digits than its factorization.

206934010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9126 (or 4556 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

Multiplying 206934010000 by its sum of digits (25), we get a square (5173350250000 = 2274500²).

206934010000 divided by its sum of digits (25) gives a square (8277360400 = 90980²).

Multiplying 206934010000 by its product of nonzero digits (1296), we get a square (268186476960000 = 16376400²).

Adding to 206934010000 its reverse (10439602), we get a palindrome (206944449602).

The spelling of 206934010000 in words is "two hundred six billion, nine hundred thirty-four million, ten thousand".