8688104100 has 243 divisors, whose sum is σ = 29612214723. Its totient is φ = 2129662080.

The previous prime is 8688104053. The next prime is 8688104123. The reversal of 8688104100 is 14018868.

The square root of 8688104100 is 93210.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2239371684 + 6448732416 = 47322^2 + 80304^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 36351781 + ... + 36352019.

Almost surely, 2^8688104100 is an apocalyptic number.

8688104100 is the 93210-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8688104100

8688104100 is an abundant number, since it is smaller than the sum of its proper divisors (20924110623).

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

8688104100 is a wasteful number, since it uses less digits than its factorization.

8688104100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The cubic root of 8688104100 is about 2055.7722779802.

Multiplying 8688104100 by its sum of digits (36), we get a square (312771747600 = 559260²).

8688104100 divided by its sum of digits (36) gives a square (241336225 = 15535²).

The spelling of 8688104100 in words is "eight billion, six hundred eighty-eight million, one hundred four thousand, one hundred".