987155100 has 180 divisors, whose sum is σ = 3269311584. Its totient is φ = 257541120.

The previous prime is 987155083. The next prime is 987155173. The reversal of 987155100 is 1551789.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 379404 + ... + 381996.

Almost surely, 2^987155100 is an apocalyptic number.

987155100 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 987155100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1634655792).

987155100 is an abundant number, since it is smaller than the sum of its proper divisors (2282156484).

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

987155100 is a wasteful number, since it uses less digits than its factorization.

987155100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2666 (or 2650 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 36.

The square root of 987155100 is about 31419.0244915402. The cubic root of 987155100 is about 995.6999023308.

The spelling of 987155100 in words is "nine hundred eighty-seven million, one hundred fifty-five thousand, one hundred".