9083996100 has 189 divisors, whose sum is σ = 29638849303. Its totient is φ = 2415536640.

The previous prime is 9083996093. The next prime is 9083996101. The reversal of 9083996100 is 16993809.

The square root of 9083996100 is 95310.

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

9083996100 is digitally balanced in base 2, 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 4 ways, for example, as 497379204 + 8586616896 = 22302^2 + 92664^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9083996101) by changing a digit.

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 62 ways as a sum of consecutive naturals, for example, 25733524 + ... + 25733876.

Almost surely, 2^9083996100 is an apocalyptic number.

9083996100 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

9083996100 is the 95310-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9083996100

9083996100 is an abundant number, since it is smaller than the sum of its proper divisors (20554853203).

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

9083996100 is an equidigital number, since it uses as much as digits as its factorization.

9083996100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The cubic root of 9083996100 is about 2086.5348669363.

Multiplying 9083996100 by its product of nonzero digits (104976), we get a square (953601574593600 = 30880440²).

The spelling of 9083996100 in words is "nine billion, eighty-three million, nine hundred ninety-six thousand, one hundred".