9985100 has 36 divisors (see below), whose sum is σ = 22373568. Its totient is φ = 3864000.

The previous prime is 9985093. The next prime is 9985109. The reversal of 9985100 is 15899.

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (9985109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1490 + ... + 4710.

It is an arithmetic number, because the mean of its divisors is an integer number (621488).

Almost surely, 2^9985100 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 9985100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11186784).

9985100 is an abundant number, since it is smaller than the sum of its proper divisors (12388468).

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

9985100 is a wasteful number, since it uses less digits than its factorization.

9985100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3266 (or 3259 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 32.

The square root of 9985100 is about 3159.9208850856. The cubic root of 9985100 is about 215.3364122244.

The spelling of 9985100 in words is "nine million, nine hundred eighty-five thousand, one hundred".