100232120 has 64 divisors (see below), whose sum is σ = 236779200. Its totient is φ = 38133760.

The previous prime is 100232107. The next prime is 100232147. The reversal of 100232120 is 21232001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81752 + ... + 82968.

It is an arithmetic number, because the mean of its divisors is an integer number (3699675).

Almost surely, 2^100232120 is an apocalyptic number.

100232120 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 100232120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118389600).

100232120 is an abundant number, since it is smaller than the sum of its proper divisors (136547080).

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

100232120 is a wasteful number, since it uses less digits than its factorization.

100232120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 100232120 is about 10011.5992728435. The cubic root of 100232120 is about 464.5177410442.

Adding to 100232120 its reverse (21232001), we get a palindrome (121464121).

The spelling of 100232120 in words is "one hundred million, two hundred thirty-two thousand, one hundred twenty".