103512312 has 48 divisors (see below), whose sum is σ = 282232080. Its totient is φ = 34272000.

The previous prime is 103512293. The next prime is 103512313. The reversal of 103512312 is 213215301.

103512312 is a `hidden beast` number, since 1 + 0 + 351 + 2 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103512313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6112 + ... + 15632.

It is an arithmetic number, because the mean of its divisors is an integer number (5879835).

Almost surely, 2^103512312 is an apocalyptic number.

103512312 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 103512312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141116040).

103512312 is an abundant number, since it is smaller than the sum of its proper divisors (178719768).

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

103512312 is a wasteful number, since it uses less digits than its factorization.

103512312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9684 (or 9677 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 103512312 is about 10174.1000584818. The cubic root of 103512312 is about 469.5307100872.

Adding to 103512312 its reverse (213215301), we get a palindrome (316727613).

The spelling of 103512312 in words is "one hundred three million, five hundred twelve thousand, three hundred twelve".