852845100 has 72 divisors (see below), whose sum is σ = 2527786128. Its totient is φ = 221875200.

The previous prime is 852845093. The next prime is 852845143. The reversal of 852845100 is 1548258.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22369 + ... + 46968.

Almost surely, 2^852845100 is an apocalyptic number.

It is an amenable number.

852845100 is an abundant number, since it is smaller than the sum of its proper divisors (1674941028).

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

852845100 is a wasteful number, since it uses less digits than its factorization.

852845100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69395 (or 69388 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 33.

The square root of 852845100 is about 29203.5117751273. The cubic root of 852845100 is about 948.3239514915.

It can be divided in two parts, 8528 and 45100, that added together give a triangular number (53628 = T₃₂₇).

The spelling of 852845100 in words is "eight hundred fifty-two million, eight hundred forty-five thousand, one hundred".