100233360 has 240 divisors, whose sum is σ = 376047360. Its totient is φ = 23777280.

The previous prime is 100233359. The next prime is 100233391. The reversal of 100233360 is 63332001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 232345 + ... + 232775.

It is an arithmetic number, because the mean of its divisors is an integer number (1566864).

Almost surely, 2^100233360 is an apocalyptic number.

100233360 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 100233360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188023680).

100233360 is an abundant number, since it is smaller than the sum of its proper divisors (275814000).

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

100233360 is a wasteful number, since it uses less digits than its factorization.

100233360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 100233360 is about 10011.6612008198. The cubic root of 100233360 is about 464.5196565966.

Adding to 100233360 its reverse (63332001), we get a palindrome (163565361).

The spelling of 100233360 in words is "one hundred million, two hundred thirty-three thousand, three hundred sixty".