100818000 has 160 divisors (see below), whose sum is σ = 361345920. Its totient is φ = 26870400.

The previous prime is 100817963. The next prime is 100818089. The reversal of 100818000 is 818001.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53067 + ... + 54933.

It is an arithmetic number, because the mean of its divisors is an integer number (2258412).

Almost surely, 2^100818000 is an apocalyptic number.

100818000 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 100818000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180672960).

100818000 is an abundant number, since it is smaller than the sum of its proper divisors (260527920).

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

100818000 is a wasteful number, since it uses less digits than its factorization.

100818000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1899 (or 1877 counting only the distinct ones).

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

The square root of 100818000 is about 10040.8166998507. The cubic root of 100818000 is about 465.4210546267.

Subtracting from 100818000 its reverse (818001), we obtain a palindrome (99999999).

It can be divided in two parts, 10081 and 8000, that added together give a palindrome (18081).

The spelling of 100818000 in words is "one hundred million, eight hundred eighteen thousand".