10005006110500 has 24 divisors (see below), whose sum is σ = 21850933346424. Its totient is φ = 4002002444000.

The previous prime is 10005006110483. The next prime is 10005006110581. The reversal of 10005006110500 is 501160050001.

10005006110500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 117452885796 + 9887553224704 = 342714^2 + 3144448^2 .

It is a super-2 number, since 2×10005006110500² (a number of 27 digits) contains 22 as substring.

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, 10005005611 + ... + 10005006610.

It is an arithmetic number, because the mean of its divisors is an integer number (910455556101).

Almost surely, 2^{10005006110500} is an apocalyptic number.

10005006110500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10005006110500 is an abundant number, since it is smaller than the sum of its proper divisors (11845927235924).

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

10005006110500 is a wasteful number, since it uses less digits than its factorization.

10005006110500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20010012240 (or 20010012228 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 19.

Adding to 10005006110500 its reverse (501160050001), we get a palindrome (10506166160501).

The spelling of 10005006110500 in words is "ten trillion, five billion, six million, one hundred ten thousand, five hundred".