103712 has 24 divisors (see below), whose sum is σ = 233856. Its totient is φ = 44352.

The previous prime is 103703. The next prime is 103723. The reversal of 103712 is 217301.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 103712.

It is an unprimeable number.

103712 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 3 ways as a sum of consecutive naturals, for example, 8 + ... + 455.

It is an arithmetic number, because the mean of its divisors is an integer number (9744).

2^{103712} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116928).

103712 is an abundant number, since it is smaller than the sum of its proper divisors (130144).

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

103712 is an equidigital number, since it uses as much as digits as its factorization.

103712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 14.

The square root of 103712 is about 322.0434753259. The cubic root of 103712 is about 46.9832443668.

The spelling of 103712 in words is "one hundred three thousand, seven hundred twelve", and thus it is an iban number.

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 463 926 1852 3241 3704 6482 7408 12964 14816 25928 51856 103712

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