100233120 has 96 divisors (see below), whose sum is σ = 340042752. Its totient is φ = 24671232.

The previous prime is 100233109. The next prime is 100233127. The reversal of 100233120 is 21332001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×100233120³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100233096 and 100233105.

It is not an unprimeable number, because it can be changed into a prime (100233127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1792 + ... + 14271.

It is an arithmetic number, because the mean of its divisors is an integer number (3542112).

Almost surely, 2^100233120 is an apocalyptic number.

100233120 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 100233120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170021376).

100233120 is an abundant number, since it is smaller than the sum of its proper divisors (239809632).

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

100233120 is a wasteful number, since it uses less digits than its factorization.

100233120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16094 (or 16086 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 100233120 is about 10011.6492147897. The cubic root of 100233120 is about 464.5192858457.

Adding to 100233120 its reverse (21332001), we get a palindrome (121565121).

The spelling of 100233120 in words is "one hundred million, two hundred thirty-three thousand, one hundred twenty".