100233018 has 64 divisors (see below), whose sum is σ = 236083200. Its totient is φ = 31434480.

The previous prime is 100232989. The next prime is 100233031. The reversal of 100233018 is 810332001.

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

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, 216255 + ... + 216717.

It is an arithmetic number, because the mean of its divisors is an integer number (3688800).

Almost surely, 2^100233018 is an apocalyptic number.

100233018 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 100233018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118041600).

100233018 is an abundant number, since it is smaller than the sum of its proper divisors (135850182).

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

100233018 is a wasteful number, since it uses less digits than its factorization.

100233018 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 100233018 is about 10011.6441207226. The cubic root of 100233018 is about 464.5191282764.

Adding to 100233018 its reverse (810332001), we get a palindrome (910565019).

It can be divided in two parts, 10023 and 3018, that added together give a triangular number (13041 = T₁₆₁).

The spelling of 100233018 in words is "one hundred million, two hundred thirty-three thousand, eighteen".