10070110368 has 144 divisors (see below), whose sum is σ = 29399970600. Its totient is φ = 3267624960.

The previous prime is 10070110313. The next prime is 10070110417. The reversal of 10070110368 is 86301107001.

It can be written as a sum of positive squares in 4 ways, for example, as 2419459344 + 7650651024 = 49188^2 + 87468^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 9079798 + ... + 9080906.

Almost surely, 2^10070110368 is an apocalyptic number.

10070110368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10070110368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14699985300).

10070110368 is an abundant number, since it is smaller than the sum of its proper divisors (19329860232).

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

10070110368 is a wasteful number, since it uses less digits than its factorization.

10070110368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1935 (or 1924 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

Adding to 10070110368 its reverse (86301107001), we get a palindrome (96371217369).

The spelling of 10070110368 in words is "ten billion, seventy million, one hundred ten thousand, three hundred sixty-eight".