102112 has 12 divisors (see below), whose sum is σ = 201096. Its totient is φ = 51040.

The previous prime is 102107. The next prime is 102121. The reversal of 102112 is 211201.

It is a junction number, because it is equal to n+sod(n) for n = 102095 and 102104.

It is a congruent number.

It is an unprimeable number.

102112 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 as a sum of consecutive naturals, namely, 1564 + ... + 1627.

It is an arithmetic number, because the mean of its divisors is an integer number (16758).

2¹⁰²¹¹² is an apocalyptic number.

It is an amenable number.

102112 is a deficient number, since it is larger than the sum of its proper divisors (98984).

102112 is an equidigital number, since it uses as much as digits as its factorization.

102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3201 (or 3193 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 102112 is about 319.5496831480. The cubic root of 102112 is about 46.7403823620.

Adding to 102112 its reverse (211201), we get a palindrome (313313).

The spelling of 102112 in words is "one hundred two thousand, one hundred twelve", and thus it is an iban number.