10208273296 has 135 divisors (see below), whose sum is σ = 22516970931. Its totient is φ = 4481148672.

The previous prime is 10208273233. The next prime is 10208273297. The reversal of 10208273296 is 69237280201.

The square root of 10208273296 is 101036.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1308992400 + 8899280896 = 36180^2 + 94336^2 .

It is not an unprimeable number, because it can be changed into a prime (10208273297) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 152362255 + ... + 152362321.

Almost surely, 2^10208273296 is an apocalyptic number.

10208273296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10208273296 is the 101036-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10208273296

10208273296 is an abundant number, since it is smaller than the sum of its proper divisors (12308697635).

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

10208273296 is an equidigital number, since it uses as much as digits as its factorization.

10208273296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The spelling of 10208273296 in words is "ten billion, two hundred eight million, two hundred seventy-three thousand, two hundred ninety-six".