10105004736 has 168 divisors, whose sum is σ = 30405080160. Its totient is φ = 3202535424.

The previous prime is 10105004729. The next prime is 10105004737. The reversal of 10105004736 is 63740050101.

It is a super-2 number, since 2×10105004736² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10105004737) by changing a digit.

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, 2289700 + ... + 2294108.

It is an arithmetic number, because the mean of its divisors is an integer number (180982620).

Almost surely, 2^10105004736 is an apocalyptic number.

10105004736 is a gapful number since it is divisible by the number (16) 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 10105004736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15202540080).

10105004736 is an abundant number, since it is smaller than the sum of its proper divisors (20300075424).

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

10105004736 is a wasteful number, since it uses less digits than its factorization.

10105004736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4623 (or 4610 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

Adding to 10105004736 its reverse (63740050101), we get a palindrome (73845054837).

The spelling of 10105004736 in words is "ten billion, one hundred five million, four thousand, seven hundred thirty-six".