105112 has 16 divisors (see below), whose sum is σ = 225360. Its totient is φ = 45024.

The previous prime is 105107. The next prime is 105137. The reversal of 105112 is 211501.

It is a happy number.

It is a super-2 number, since 2×105112² = 22097065088, which contains 22 as substring.

It is a pancake number, because a pancake can be divided into 105112 parts by 458 straight cuts.

It is a congruent number.

It is an unprimeable number.

105112 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, 883 + ... + 994.

It is an arithmetic number, because the mean of its divisors is an integer number (14085).

2¹⁰⁵¹¹² is an apocalyptic number.

It is an amenable number.

105112 is an abundant number, since it is smaller than the sum of its proper divisors (120248).

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

105112 is a wasteful number, since it uses less digits than its factorization.

105112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1890 (or 1886 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 10.

The square root of 105112 is about 324.2098086116. The cubic root of 105112 is about 47.1937078656.

Adding to 105112 its reverse (211501), we get a palindrome (316613).

The spelling of 105112 in words is "one hundred five thousand, one hundred twelve".