100085846200 has 144 divisors (see below), whose sum is σ = 242075131200. Its totient is φ = 38460787200.

The previous prime is 100085846191. The next prime is 100085846243. The reversal of 100085846200 is 2648580001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 36808441 + ... + 36811159.

It is an arithmetic number, because the mean of its divisors is an integer number (1681077300).

Almost surely, 2^100085846200 is an apocalyptic number.

100085846200 is a gapful number since it is divisible by the number (10) 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 100085846200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121037565600).

100085846200 is an abundant number, since it is smaller than the sum of its proper divisors (141989285000).

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

100085846200 is a wasteful number, since it uses less digits than its factorization.

100085846200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2910 (or 2834 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The spelling of 100085846200 in words is "one hundred billion, eighty-five million, eight hundred forty-six thousand, two hundred".