100233000 has 384 divisors, whose sum is σ = 406897920. Its totient is φ = 21772800.

The previous prime is 100232989. The next prime is 100233031. The reversal of 100233000 is 332001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2330979 + ... + 2331021.

It is an arithmetic number, because the mean of its divisors is an integer number (1059630).

Almost surely, 2^100233000 is an apocalyptic number.

100233000 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 100233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203448960).

100233000 is an abundant number, since it is smaller than the sum of its proper divisors (306664920).

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

100233000 is a wasteful number, since it uses less digits than its factorization.

100233000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 100233000 is about 10011.6432217693. The cubic root of 100233000 is about 464.5191004701.

Adding to 100233000 its reverse (332001), we get a palindrome (100565001).

Subtracting from 100233000 its reverse (332001), we obtain a palindrome (99900999).

The spelling of 100233000 in words is "one hundred million, two hundred thirty-three thousand".