103512 has 32 divisors (see below), whose sum is σ = 273600. Its totient is φ = 32544.

The previous prime is 103511. The next prime is 103529. The reversal of 103512 is 215301.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 103512.

It is not an unprimeable number, because it can be changed into a prime (103511) by changing a digit.

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, 343 + ... + 569.

It is an arithmetic number, because the mean of its divisors is an integer number (8550).

2¹⁰³⁵¹² is an apocalyptic number.

103512 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 103512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136800).

103512 is an abundant number, since it is smaller than the sum of its proper divisors (170088).

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

103512 is a wasteful number, since it uses less digits than its factorization.

103512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 103512 is about 321.7328083985. The cubic root of 103512 is about 46.9530238344.

Adding to 103512 its reverse (215301), we get a palindrome (318813).

It can be divided in two parts, 10351 and 2, that multiplied together give a palindrome (20702).

The spelling of 103512 in words is "one hundred three thousand, five hundred twelve".