986345100 has 720 divisors, whose sum is σ = 3970058400. Its totient is φ = 209018880.

The previous prime is 986345089. The next prime is 986345203. The reversal of 986345100 is 1543689.

986345100 is a `hidden beast` number, since 9 + 8 + 634 + 5 + 10 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 34011886 + ... + 34011914.

It is an arithmetic number, because the mean of its divisors is an integer number (5513970).

Almost surely, 2^986345100 is an apocalyptic number.

986345100 is a gapful number since it is divisible by the number (90) 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 986345100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1985029200).

986345100 is an abundant number, since it is smaller than the sum of its proper divisors (2983713300).

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

986345100 is a wasteful number, since it uses less digits than its factorization.

986345100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 986345100 is about 31406.1315669409. The cubic root of 986345100 is about 995.4274906924.

Adding to 986345100 its reverse (1543689), we get a palindrome (987888789).

The spelling of 986345100 in words is "nine hundred eighty-six million, three hundred forty-five thousand, one hundred".