986015100 has 144 divisors (see below), whose sum is σ = 3300288768. Its totient is φ = 222620160.

The previous prime is 986015077. The next prime is 986015101. The reversal of 986015100 is 1510689.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (986015101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 171472 + ... + 177128.

It is an arithmetic number, because the mean of its divisors is an integer number (22918672).

Almost surely, 2^986015100 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 986015100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1650144384).

986015100 is an abundant number, since it is smaller than the sum of its proper divisors (2314273668).

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

986015100 is a wasteful number, since it uses less digits than its factorization.

986015100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5764 (or 5757 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 30.

The square root of 986015100 is about 31400.8773762772. The cubic root of 986015100 is about 995.3164654157.

Adding to 986015100 its reverse (1510689), we get a palindrome (987525789).

The spelling of 986015100 in words is "nine hundred eighty-six million, fifteen thousand, one hundred".