10006100600500 has 24 divisors (see below), whose sum is σ = 21853323712584. Its totient is φ = 4002440240000.

The previous prime is 10006100600491. The next prime is 10006100600543. The reversal of 10006100600500 is 500600160001.

It can be written as a sum of positive squares in 4 ways, for example, as 1041130448164 + 8964970152336 = 1020358^2 + 2994156^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10006100101 + ... + 10006101100.

It is an arithmetic number, because the mean of its divisors is an integer number (910555154691).

Almost surely, 2^{10006100600500} is an apocalyptic number.

10006100600500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10006100600500 is an abundant number, since it is smaller than the sum of its proper divisors (11847223112084).

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

10006100600500 is a wasteful number, since it uses less digits than its factorization.

10006100600500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20012201220 (or 20012201208 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

Adding to 10006100600500 its reverse (500600160001), we get a palindrome (10506700760501).

The spelling of 10006100600500 in words is "ten trillion, six billion, one hundred million, six hundred thousand, five hundred".