100857848 has 48 divisors (see below), whose sum is σ = 234049680. Its totient is φ = 39896064.

The previous prime is 100857803. The next prime is 100857877. The reversal of 100857848 is 848758001.

It is a super-2 number, since 2×100857848² = 20344611006382208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4136 + ... + 14792.

It is an arithmetic number, because the mean of its divisors is an integer number (4876035).

Almost surely, 2^100857848 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 100857848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117024840).

100857848 is an abundant number, since it is smaller than the sum of its proper divisors (133191832).

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

100857848 is a wasteful number, since it uses less digits than its factorization.

100857848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10696 (or 10679 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 41.

The square root of 100857848 is about 10042.8008045565. The cubic root of 100857848 is about 465.4823652898.

The spelling of 100857848 in words is "one hundred million, eight hundred fifty-seven thousand, eight hundred forty-eight".