100800018 has 48 divisors (see below), whose sum is σ = 246230880. Its totient is φ = 30543480.

The previous prime is 100799983. The next prime is 100800019. The reversal of 100800018 is 810008001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (100800019) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1180 + ... + 14247.

It is an arithmetic number, because the mean of its divisors is an integer number (5129810).

Almost surely, 2^100800018 is an apocalyptic number.

100800018 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 100800018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123115440).

100800018 is an abundant number, since it is smaller than the sum of its proper divisors (145430862).

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

100800018 is a wasteful number, since it uses less digits than its factorization.

100800018 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15460 (or 15443 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 100800018 is about 10039.9212148303. The cubic root of 100800018 is about 465.3933819921.

Adding to 100800018 its reverse (810008001), we get a palindrome (910808019).

The spelling of 100800018 in words is "one hundred million, eight hundred thousand, eighteen".