100120320 has 144 divisors (see below), whose sum is σ = 355410720. Its totient is φ = 26689536.

The previous prime is 100120289. The next prime is 100120343. The reversal of 100120320 is 23021001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33112 + ... + 36008.

It is an arithmetic number, because the mean of its divisors is an integer number (2468130).

Almost surely, 2^100120320 is an apocalyptic number.

100120320 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 100120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177705360).

100120320 is an abundant number, since it is smaller than the sum of its proper divisors (255290400).

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

100120320 is an equidigital number, since it uses as much as digits as its factorization.

100120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2927 (or 2907 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 100120320 is about 10006.0141914750. The cubic root of 100120320 is about 464.3449674053.

Adding to 100120320 its reverse (23021001), we get a palindrome (123141321).

It can be divided in two parts, 1001 and 20320, that added together give a triangular number (21321 = T₂₀₆).

The spelling of 100120320 in words is "one hundred million, one hundred twenty thousand, three hundred twenty".