10089800704 has 99 divisors (see below), whose sum is σ = 20936468313. Its totient is φ = 4860076032.

The previous prime is 10089800687. The next prime is 10089800719. The reversal of 10089800704 is 40700898001.

The square root of 10089800704 is 100448.

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

It can be written as a sum of positive squares in only one way, i.e., 5727462400 + 4362338304 = 75680^2 + 66048^2 .

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, 138216412 + ... + 138216484.

Almost surely, 2^10089800704 is an apocalyptic number.

10089800704 is the 100448-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10089800704

10089800704 is an abundant number, since it is smaller than the sum of its proper divisors (10846667609).

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

10089800704 is an frugal number, since it uses more digits than its factorization.

10089800704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 37.

The spelling of 10089800704 in words is "ten billion, eighty-nine million, eight hundred thousand, seven hundred four".