103012 has 24 divisors (see below), whose sum is σ = 222656. Its totient is φ = 40608.

The previous prime is 103007. The next prime is 103043. The reversal of 103012 is 210301.

It is a super-2 number, since 2×103012² = 21222944288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (7).

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

It is a junction number, because it is equal to n+sod(n) for n = 102986 and 103004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 223 + ... + 505.

2¹⁰³⁰¹² 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 103012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111328).

103012 is an abundant number, since it is smaller than the sum of its proper divisors (119644).

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

103012 is a wasteful number, since it uses less digits than its factorization.

103012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 103012 is about 320.9548254817. The cubic root of 103012 is about 46.8773018129.

Adding to 103012 its reverse (210301), we get a palindrome (313313).

It can be divided in two parts, 10301 and 2, that multiplied together give a palindrome (20602).

The spelling of 103012 in words is "one hundred three thousand, twelve", and thus it is an iban number.