100857852 has 96 divisors (see below), whose sum is σ = 287347200. Its totient is φ = 30450816.

The previous prime is 100857803. The next prime is 100857877. The reversal of 100857852 is 258758001.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46128 + ... + 48264.

It is an arithmetic number, because the mean of its divisors is an integer number (2993200).

Almost surely, 2^100857852 is an apocalyptic number.

100857852 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100857852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143673600).

100857852 is an abundant number, since it is smaller than the sum of its proper divisors (186489348).

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

100857852 is a wasteful number, since it uses less digits than its factorization.

100857852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2192 (or 2184 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The square root of 100857852 is about 10042.8010037041. The cubic root of 100857852 is about 465.4823714434.

The spelling of 100857852 in words is "one hundred million, eight hundred fifty-seven thousand, eight hundred fifty-two".