100112 has 10 divisors (see below), whose sum is σ = 193998. Its totient is φ = 50048.

The previous prime is 100109. The next prime is 100129. The reversal of 100112 is 211001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 99856 + 256 = 316^2 + 16^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100096 and 100105.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3113 + ... + 3144.

2¹⁰⁰¹¹² is an apocalyptic number.

It is an amenable number.

100112 is a deficient number, since it is larger than the sum of its proper divisors (93886).

100112 is an equidigital number, since it uses as much as digits as its factorization.

100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6265 (or 6259 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

The square root of 100112 is about 316.4048040090. The cubic root of 100112 is about 46.4332104691.

Adding to 100112 its reverse (211001), we get a palindrome (311113).

Subtracting 100112 from its reverse (211001), we obtain a square (110889 = 333²).

Multiplying 100112 by its reverse (211001), we get a palindrome (21123732112).

It can be divided in two parts, 100 and 112, that added together give a palindrome (212).

The spelling of 100112 in words is "one hundred thousand, one hundred twelve", and thus it is an iban number.