100018000 has 80 divisors (see below), whose sum is σ = 247680576. Its totient is φ = 39043200.

The previous prime is 100017989. The next prime is 100018001. The reversal of 100018000 is 810001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100018001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85419 + ... + 86581.

Almost surely, 2^100018000 is an apocalyptic number.

100018000 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 100018000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123840288).

100018000 is an abundant number, since it is smaller than the sum of its proper divisors (147662576).

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

100018000 is a wasteful number, since it uses less digits than its factorization.

100018000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1229 (or 1213 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 100018000 is about 10000.8999595036. The cubic root of 100018000 is about 464.1867312235.

Adding to 100018000 its reverse (810001), we get a palindrome (100828001).

The spelling of 100018000 in words is "one hundred million, eighteen thousand".