852056100 has 243 divisors, whose sum is σ = 3129270417. Its totient is φ = 193354560.

The previous prime is 852056063. The next prime is 852056123. The reversal of 852056100 is 1650258.

The square root of 852056100 is 29190.

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

852056100 is a `hidden beast` number, since 85 + 20 + 561 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 306740196 + 545315904 = 17514^2 + 23352^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 6129831 + ... + 6129969.

Almost surely, 2^852056100 is an apocalyptic number.

852056100 is the 29190-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 852056100

852056100 is an abundant number, since it is smaller than the sum of its proper divisors (2277214317).

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

852056100 is a wasteful number, since it uses less digits than its factorization.

852056100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The cubic root of 852056100 is about 948.0314175349.

It can be divided in two parts, 8520 and 56100, that added together give a triangular number (64620 = T₃₅₉).

The spelling of 852056100 in words is "eight hundred fifty-two million, fifty-six thousand, one hundred".