96856100 has 72 divisors (see below), whose sum is σ = 230985216. Its totient is φ = 34960000.

The previous prime is 96856099. The next prime is 96856139. The reversal of 96856100 is 165869.

It is a super-2 number, since 2×96856100² = 18762208214420000, which contains 22 as substring.

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, 209870 + ... + 210330.

It is an arithmetic number, because the mean of its divisors is an integer number (3208128).

Almost surely, 2^96856100 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 96856100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115492608).

96856100 is an abundant number, since it is smaller than the sum of its proper divisors (134129116).

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

96856100 is a wasteful number, since it uses less digits than its factorization.

96856100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 35.

The square root of 96856100 is about 9841.5496747209. The cubic root of 96856100 is about 459.2427680243.

The spelling of 96856100 in words is "ninety-six million, eight hundred fifty-six thousand, one hundred".