10390948096 has 81 divisors (see below), whose sum is σ = 21760869081. Its totient is φ = 4951643136.

The previous prime is 10390948079. The next prime is 10390948123. The reversal of 10390948096 is 69084909301.

The square root of 10390948096 is 101936.

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., 1790982400 + 8599965696 = 42320^2 + 92736^2 .

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 37512310 + ... + 37512586.

Almost surely, 2^10390948096 is an apocalyptic number.

10390948096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10390948096 is the 101936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10390948096

10390948096 is an abundant number, since it is smaller than the sum of its proper divisors (11369920985).

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

10390948096 is an frugal number, since it uses more digits than its factorization.

10390948096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 49.

Multiplying 10390948096 by its sum of digits (49), we get a square (509156456704 = 713552²).

The spelling of 10390948096 in words is "ten billion, three hundred ninety million, nine hundred forty-eight thousand, ninety-six".