985987100 has 72 divisors (see below), whose sum is σ = 2511401760. Its totient is φ = 328907520.

The previous prime is 985987099. The next prime is 985987133. The reversal of 985987100 is 1789589.

It is a happy number.

985987100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×985987100² = 1944341122732820000, 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 23 ways as a sum of consecutive naturals, for example, 6866 + ... + 44934.

It is an arithmetic number, because the mean of its divisors is an integer number (34880580).

Almost surely, 2^985987100 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 985987100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1255700880).

985987100 is an abundant number, since it is smaller than the sum of its proper divisors (1525414660).

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

985987100 is a wasteful number, since it uses less digits than its factorization.

985987100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38127 (or 38120 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 47.

The square root of 985987100 is about 31400.4315256972. The cubic root of 985987100 is about 995.3070439491.

The spelling of 985987100 in words is "nine hundred eighty-five million, nine hundred eighty-seven thousand, one hundred".