101320 has 32 divisors (see below), whose sum is σ = 243000. Its totient is φ = 37888.

The previous prime is 101293. The next prime is 101323. The reversal of 101320 is 23101.

It can be written as a sum of positive squares in 4 ways, for example, as 75076 + 26244 = 274^2 + 162^2 .

It is not an unprimeable number, because it can be changed into a prime (101323) by changing a digit.

101320 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 7 ways as a sum of consecutive naturals, for example, 606 + ... + 754.

2¹⁰¹³²⁰ is an apocalyptic number.

101320 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 101320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121500).

101320 is an abundant number, since it is smaller than the sum of its proper divisors (141680).

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

101320 is a wasteful number, since it uses less digits than its factorization.

101320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 101320 is about 318.3080269173. The cubic root of 101320 is about 46.6192261656.

Adding to 101320 its reverse (23101), we get a palindrome (124421).

The spelling of 101320 in words is "one hundred one thousand, three hundred twenty", and thus it is an iban number.