834317828100 has 567 divisors, whose sum is σ = 2898092581167. Its totient is φ = 208345167360.

The previous prime is 834317828021. The next prime is 834317828119. The reversal of 834317828100 is 1828713438.

The square root of 834317828100 is 913410.

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 19515531204 + 814802296896 = 139698^2 + 902664^2 .

It is a super-2 number, since 2×834317828100² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 4192551801 + ... + 4192551999.

Almost surely, 2^834317828100 is an apocalyptic number.

834317828100 is the 913410-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 834317828100

834317828100 is an abundant number, since it is smaller than the sum of its proper divisors (2063774753067).

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

834317828100 is a wasteful number, since it uses less digits than its factorization.

834317828100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 834317828100 in words is "eight hundred thirty-four billion, three hundred seventeen million, eight hundred twenty-eight thousand, one hundred".