8260992100 has 81 divisors (see below), whose sum is σ = 18348181761. Its totient is φ = 3228412800.

The previous prime is 8260992097. The next prime is 8260992119. The reversal of 8260992100 is 12990628.

The square root of 8260992100 is 90890.

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

It can be written as a sum of positive squares in 13 ways, for example, as 7028139556 + 1232852544 = 83834^2 + 35112^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 8260992100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 55442826 + ... + 55442974.

Almost surely, 2^8260992100 is an apocalyptic number.

8260992100 is the 90890-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8260992100

8260992100 is an abundant number, since it is smaller than the sum of its proper divisors (10087189661).

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

8260992100 is a wasteful number, since it uses less digits than its factorization.

8260992100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The cubic root of 8260992100 is about 2021.5170204165.

The spelling of 8260992100 in words is "eight billion, two hundred sixty million, nine hundred ninety-two thousand, one hundred".