103005312 has 128 divisors (see below), whose sum is σ = 299635200. Its totient is φ = 31211520.

The previous prime is 103005311. The next prime is 103005313. The reversal of 103005312 is 213500301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (103005311) and next prime (103005313).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×103005312² = 21220188600434688, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103005291 and 103005300.

It is not an unprimeable number, because it can be changed into a prime (103005311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 202114 + ... + 202622.

It is an arithmetic number, because the mean of its divisors is an integer number (2340900).

Almost surely, 2^103005312 is an apocalyptic number.

103005312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103005312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149817600).

103005312 is an abundant number, since it is smaller than the sum of its proper divisors (196629888).

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

103005312 is a wasteful number, since it uses less digits than its factorization.

103005312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 103005312 is about 10149.1532651744. The cubic root of 103005312 is about 468.7628729620.

Adding to 103005312 its reverse (213500301), we get a palindrome (316505613).

The spelling of 103005312 in words is "one hundred three million, five thousand, three hundred twelve".