10105038768 has 80 divisors (see below), whose sum is σ = 28513746432. Its totient is φ = 3058272000.

The previous prime is 10105038767. The next prime is 10105038787. The reversal of 10105038768 is 86783050101.

10105038768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10105038768² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10105038767) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 421833 + ... + 445143.

Almost surely, 2^10105038768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10105038768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14256873216).

10105038768 is an abundant number, since it is smaller than the sum of its proper divisors (18408707664).

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

10105038768 is a wasteful number, since it uses less digits than its factorization.

10105038768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24154 (or 24148 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

Adding to 10105038768 its reverse (86783050101), we get a palindrome (96888088869).

The spelling of 10105038768 in words is "ten billion, one hundred five million, thirty-eight thousand, seven hundred sixty-eight".