852938100 has 360 divisors, whose sum is σ = 3234862400. Its totient is φ = 194322240.

The previous prime is 852938089. The next prime is 852938179. The reversal of 852938100 is 1839258.

852938100 is nontrivially palindromic in base 13.

It is a super-2 number, since 2×852938100² = 1455006804863220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 2778147 + ... + 2778453.

Almost surely, 2^852938100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 852938100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1617431200).

852938100 is an abundant number, since it is smaller than the sum of its proper divisors (2381924300).

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

852938100 is a wasteful number, since it uses less digits than its factorization.

852938100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 852938100 is about 29205.1040059781. The cubic root of 852938100 is about 948.3584207919.

The spelling of 852938100 in words is "eight hundred fifty-two million, nine hundred thirty-eight thousand, one hundred".