10005111106100 has 72 divisors (see below), whose sum is σ = 24714601789248. Its totient is φ = 3480038636800.

The previous prime is 10005111106099. The next prime is 10005111106187. The reversal of 10005111106100 is 160111150001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 197704169 + ... + 197754768.

It is an arithmetic number, because the mean of its divisors is an integer number (343258358184).

Almost surely, 2^{10005111106100} is an apocalyptic number.

10005111106100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10005111106100 is an abundant number, since it is smaller than the sum of its proper divisors (14709490683148).

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

10005111106100 is a wasteful number, since it uses less digits than its factorization.

10005111106100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395458985 (or 395458978 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 17.

Adding to 10005111106100 its reverse (160111150001), we get a palindrome (10165222256101).

The spelling of 10005111106100 in words is "ten trillion, five billion, one hundred eleven million, one hundred six thousand, one hundred".