987604541100 has 108 divisors (see below), whose sum is σ = 3097755829896. Its totient is φ = 263177084160.

The previous prime is 987604541059. The next prime is 987604541101. The reversal of 987604541100 is 1145406789.

987604541100 is a `hidden beast` number, since 9 + 87 + 6 + 0 + 454 + 110 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (987604541101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 906819 + ... + 1672581.

Almost surely, 2^987604541100 is an apocalyptic number.

987604541100 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 987604541100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548877914948).

987604541100 is an abundant number, since it is smaller than the sum of its proper divisors (2110151288796).

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

987604541100 is a wasteful number, since it uses less digits than its factorization.

987604541100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767216 (or 767206 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

Adding to 987604541100 its reverse (1145406789), we get a palindrome (988749947889).

The spelling of 987604541100 in words is "nine hundred eighty-seven billion, six hundred four million, five hundred forty-one thousand, one hundred".