100320 has 96 divisors (see below), whose sum is σ = 362880. Its totient is φ = 23040.

The previous prime is 100313. The next prime is 100333. The reversal of 100320 is 23001.

100320 = T₄₃ + T₄₄ + ... + T₈₇.

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

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 100299 and 100308.

It is a congruent number.

It is an unprimeable number.

100320 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5271 + ... + 5289.

It is an arithmetic number, because the mean of its divisors is an integer number (3780).

2¹⁰⁰³²⁰ is an apocalyptic number.

100320 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 100320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181440).

100320 is an abundant number, since it is smaller than the sum of its proper divisors (262560).

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

100320 is a wasteful number, since it uses less digits than its factorization.

100320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 6.

The square root of 100320 is about 316.7333263173. The cubic root of 100320 is about 46.4653458997.

Adding to 100320 its reverse (23001), we get a palindrome (123321).

The spelling of 100320 in words is "one hundred thousand, three hundred twenty", and thus it is an iban number.