105650616100 has 18 divisors (see below), whose sum is σ = 229261837154. Its totient is φ = 42260246400.

The previous prime is 105650616077. The next prime is 105650616151. The reversal of 105650616100 is 1616056501.

105650616100 is digitally balanced in base 3, 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 3 ways, for example, as 3663638784 + 101986977316 = 60528^2 + 319354^2 .

It is a super-2 number, since 2×105650616100² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 528252981 + ... + 528253180.

Almost surely, 2^105650616100 is an apocalyptic number.

105650616100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105650616100 is an abundant number, since it is smaller than the sum of its proper divisors (123611221054).

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

105650616100 is a wasteful number, since it uses less digits than its factorization.

105650616100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056506175 (or 1056506168 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 31.

The spelling of 105650616100 in words is "one hundred five billion, six hundred fifty million, six hundred sixteen thousand, one hundred".