8116208100 has 1215 divisors, whose sum is σ = 36426940011. Its totient is φ = 1556755200.

The previous prime is 8116208077. The next prime is 8116208129. The reversal of 8116208100 is 18026118.

The square root of 8116208100 is 90090.

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 2091964644 + 6024243456 = 45738^2 + 77616^2 .

It is a super-2 number, since 2×8116208100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 624323694 + ... + 624323706.

Almost surely, 2^8116208100 is an apocalyptic number.

8116208100 is the 90090-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8116208100

8116208100 is an abundant number, since it is smaller than the sum of its proper divisors (28310731911).

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

8116208100 is a wasteful number, since it uses less digits than its factorization.

8116208100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The cubic root of 8116208100 is about 2009.6374931015.

The spelling of 8116208100 in words is "eight billion, one hundred sixteen million, two hundred eight thousand, one hundred".