8834120100 has 243 divisors, whose sum is σ = 30108840489. Its totient is φ = 2165529600.

The previous prime is 8834120093. The next prime is 8834120107. The reversal of 8834120100 is 10214388.

The square root of 8834120100 is 93990.

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

8834120100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (8834120093) and next prime (8834120107).

It can be written as a sum of positive squares in 13 ways, for example, as 6675216804 + 2158903296 = 81702^2 + 46464^2 .

It is not an unprimeable number, because it can be changed into a prime (8834120107) 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 80 ways as a sum of consecutive naturals, for example, 36655980 + ... + 36656220.

Almost surely, 2^8834120100 is an apocalyptic number.

8834120100 is the 93990-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8834120100

8834120100 is an abundant number, since it is smaller than the sum of its proper divisors (21274720389).

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

8834120100 is a wasteful number, since it uses less digits than its factorization.

8834120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The cubic root of 8834120100 is about 2067.2250852548.

Adding to 8834120100 its reverse (10214388), we get a palindrome (8844334488).

The spelling of 8834120100 in words is "eight billion, eight hundred thirty-four million, one hundred twenty thousand, one hundred".