987459564100 has 27 divisors (see below), whose sum is σ = 2142808817821. Its totient is φ = 394979850800.

The previous prime is 987459564097. The next prime is 987459564101. The reversal of 987459564100 is 1465954789.

The square root of 987459564100 is 993710.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 355485443076 + 631974121024 = 596226^2 + 794968^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (987459564101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9887415 + ... + 9986785.

Almost surely, 2^987459564100 is an apocalyptic number.

987459564100 is the 993710-th square number.

It is an amenable number.

987459564100 is an abundant number, since it is smaller than the sum of its proper divisors (1155349253721).

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

987459564100 is an frugal number, since it uses more digits than its factorization.

987459564100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198756 (or 99378 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 58.

The spelling of 987459564100 in words is "nine hundred eighty-seven billion, four hundred fifty-nine million, five hundred sixty-four thousand, one hundred".