101712 has 40 divisors (see below), whose sum is σ = 284704. Its totient is φ = 31104.

The previous prime is 101701. The next prime is 101719. The reversal of 101712 is 217101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101719) by changing a digit.

101712 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 543 + ... + 705.

2¹⁰¹⁷¹² is an apocalyptic number.

101712 is a gapful number since it is divisible by the number (12) 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 101712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142352).

101712 is an abundant number, since it is smaller than the sum of its proper divisors (182992).

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

101712 is a wasteful number, since it uses less digits than its factorization.

101712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 12.

The square root of 101712 is about 318.9231882444. The cubic root of 101712 is about 46.6792709718.

Adding to 101712 its reverse (217101), we get a palindrome (318813).

The spelling of 101712 in words is "one hundred one thousand, seven hundred twelve", and thus it is an iban number.