1987316100 has 576 divisors, whose sum is σ = 8132812800. Its totient is φ = 407721600.

The previous prime is 1987316083. The next prime is 1987316113. The reversal of 1987316100 is 16137891.

1987316100 is a `hidden beast` number, since 1 + 9 + 8 + 7 + 31 + 610 + 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 25155861 + ... + 25155939.

Almost surely, 2^1987316100 is an apocalyptic number.

1987316100 is a gapful number since it is divisible by the number (10) 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 1987316100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4066406400).

1987316100 is an abundant number, since it is smaller than the sum of its proper divisors (6145496700).

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

1987316100 is a wasteful number, since it uses less digits than its factorization.

1987316100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 1987316100 is about 44579.3236826222. The cubic root of 1987316100 is about 1257.2519473785.

The spelling of 1987316100 in words is "one billion, nine hundred eighty-seven million, three hundred sixteen thousand, one hundred".