656116100 has 18 divisors (see below), whose sum is σ = 1423772154. Its totient is φ = 262446400.

The previous prime is 656116073. The next prime is 656116103. The reversal of 656116100 is 1611656.

656116100 is digitally balanced in base 6, 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 158558464 + 497557636 = 12592^2 + 22306^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 656116100.

It is not an unprimeable number, because it can be changed into a prime (656116103) 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 5 ways as a sum of consecutive naturals, for example, 3280481 + ... + 3280680.

It is an arithmetic number, because the mean of its divisors is an integer number (79098453).

Almost surely, 2^656116100 is an apocalyptic number.

It is an amenable number.

656116100 is an abundant number, since it is smaller than the sum of its proper divisors (767656054).

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

656116100 is a wasteful number, since it uses less digits than its factorization.

656116100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6561175 (or 6561168 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 656116100 is about 25614.7633211787. The cubic root of 656116100 is about 868.9475537134.

Adding to 656116100 its reverse (1611656), we get a palindrome (657727756).

The spelling of 656116100 in words is "six hundred fifty-six million, one hundred sixteen thousand, one hundred".