10202616064 has 81 divisors (see below), whose sum is σ = 20911825207. Its totient is φ = 4967977472.

The previous prime is 10202616059. The next prime is 10202616077. The reversal of 10202616064 is 46061620201.

The square root of 10202616064 is 101008.

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 95351499 + ... + 95351605.

Almost surely, 2^10202616064 is an apocalyptic number.

10202616064 is the 101008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10202616064

10202616064 is an abundant number, since it is smaller than the sum of its proper divisors (10709209143).

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

10202616064 is an frugal number, since it uses more digits than its factorization.

10202616064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The spelling of 10202616064 in words is "ten billion, two hundred two million, six hundred sixteen thousand, sixty-four".