981080100 has 720 divisors, whose sum is σ = 4305307776. Its totient is φ = 188179200.

The previous prime is 981080099. The next prime is 981080117. The reversal of 981080100 is 1080189.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 239 ways as a sum of consecutive naturals, for example, 75467694 + ... + 75467706.

Almost surely, 2^981080100 is an apocalyptic number.

981080100 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 981080100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2152653888).

981080100 is an abundant number, since it is smaller than the sum of its proper divisors (3324227676).

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

981080100 is a wasteful number, since it uses less digits than its factorization.

981080100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 981080100 is about 31322.1981987216. The cubic root of 981080100 is about 993.6531696325.

The spelling of 981080100 in words is "nine hundred eighty-one million, eighty thousand, one hundred".