105012 has 18 divisors (see below), whose sum is σ = 265538. Its totient is φ = 34992.

The previous prime is 104999. The next prime is 105019. The reversal of 105012 is 210501.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 104976 + 36 = 324^2 + 6^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×105012² = 22055040288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an alternating number because its digits alternate between odd and even.

It is a zygodrome in base 5.

It is a junction number, because it is equal to n+sod(n) for n = 104985 and 105003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105019) by changing a digit.

105012 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 5 ways as a sum of consecutive naturals, for example, 1423 + ... + 1494.

2¹⁰⁵⁰¹² is an apocalyptic number.

105012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105012 is an abundant number, since it is smaller than the sum of its proper divisors (160526).

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

105012 is a wasteful number, since it uses less digits than its factorization.

105012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2927 (or 2922 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 105012 is about 324.0555507934. The cubic root of 105012 is about 47.1787369515.

Adding to 105012 its reverse (210501), we get a palindrome (315513).

The spelling of 105012 in words is "one hundred five thousand, twelve".