100998000 has 240 divisors, whose sum is σ = 366143232. Its totient is φ = 25920000.

The previous prime is 100997999. The next prime is 100998017. The reversal of 100998000 is 899001.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 557910 + ... + 558090.

Almost surely, 2^100998000 is an apocalyptic number.

100998000 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 100998000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183071616).

100998000 is an abundant number, since it is smaller than the sum of its proper divisors (265145232).

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

100998000 is a wasteful number, since it uses less digits than its factorization.

100998000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 100998000 is about 10049.7761169093. The cubic root of 100998000 is about 465.6978768264.

The spelling of 100998000 in words is "one hundred million, nine hundred ninety-eight thousand".