10112005008 has 400 divisors, whose sum is σ = 35714321280. Its totient is φ = 2696343552.

The previous prime is 10112004971. The next prime is 10112005031. The reversal of 10112005008 is 80050021101.

10112005008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 26680563 + ... + 26680941.

Almost surely, 2^10112005008 is an apocalyptic number.

10112005008 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 10112005008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17857160640).

10112005008 is an abundant number, since it is smaller than the sum of its proper divisors (25602316272).

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

10112005008 is a wasteful number, since it uses less digits than its factorization.

10112005008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

Adding to 10112005008 its reverse (80050021101), we get a palindrome (90162026109).

The spelling of 10112005008 in words is "ten billion, one hundred twelve million, five thousand, eight".