100081098 has 48 divisors (see below), whose sum is σ = 234745056. Its totient is φ = 30633120.

The previous prime is 100081087. The next prime is 100081099. The reversal of 100081098 is 890180001.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100081099) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 48361 + ... + 50387.

It is an arithmetic number, because the mean of its divisors is an integer number (4890522).

Almost surely, 2^100081098 is an apocalyptic number.

100081098 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100081098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117372528).

100081098 is an abundant number, since it is smaller than the sum of its proper divisors (134663958).

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

100081098 is a wasteful number, since it uses less digits than its factorization.

100081098 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2259 (or 2256 counting only the distinct ones).

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

The square root of 100081098 is about 10004.0540782225. The cubic root of 100081098 is about 464.2843239812.

The spelling of 100081098 in words is "one hundred million, eighty-one thousand, ninety-eight".