10005010600 has 96 divisors (see below), whose sum is σ = 25152452640. Its totient is φ = 3679200000.

The previous prime is 10005010571. The next prime is 10005010601. The reversal of 10005010600 is 601050001.

It is a super-2 number, since 2×10005010600² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (10005010601) 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, 644935 + ... + 660265.

It is an arithmetic number, because the mean of its divisors is an integer number (262004715).

Almost surely, 2^10005010600 is an apocalyptic number.

10005010600 is a gapful number since it is divisible by the number (10) 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 10005010600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12576226320).

10005010600 is an abundant number, since it is smaller than the sum of its proper divisors (15147442040).

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

10005010600 is a wasteful number, since it uses less digits than its factorization.

10005010600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15611 (or 15602 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

Adding to 10005010600 its reverse (601050001), we get a palindrome (10606060601).

The spelling of 10005010600 in words is "ten billion, five million, ten thousand, six hundred".