100239120 has 200 divisors, whose sum is σ = 360096000. Its totient is φ = 25816320.

The previous prime is 100239119. The next prime is 100239127. The reversal of 100239120 is 21932001.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 100239093 and 100239102.

It is not an unprimeable number, because it can be changed into a prime (100239127) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 200631 + ... + 201129.

It is an arithmetic number, because the mean of its divisors is an integer number (1800480).

Almost surely, 2^100239120 is an apocalyptic number.

100239120 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 100239120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180048000).

100239120 is an abundant number, since it is smaller than the sum of its proper divisors (259856880).

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

100239120 is a wasteful number, since it uses less digits than its factorization.

100239120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 100239120 is about 10011.9488612358. The cubic root of 100239120 is about 464.5285544391.

The spelling of 100239120 in words is "one hundred million, two hundred thirty-nine thousand, one hundred twenty".