987151104 has 288 divisors, whose sum is σ = 3202375680. Its totient is φ = 298598400.

The previous prime is 987151093. The next prime is 987151111. The reversal of 987151104 is 401151789.

987151104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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 31 ways as a sum of consecutive naturals, for example, 3642489 + ... + 3642759.

It is an arithmetic number, because the mean of its divisors is an integer number (11119360).

Almost surely, 2^987151104 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 987151104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1601187840).

987151104 is an abundant number, since it is smaller than the sum of its proper divisors (2215224576).

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

987151104 is a wasteful number, since it uses less digits than its factorization.

987151104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The square root of 987151104 is about 31418.9608994314. The cubic root of 987151104 is about 995.6985587993.

The spelling of 987151104 in words is "nine hundred eighty-seven million, one hundred fifty-one thousand, one hundred four".