103431312 has 60 divisors (see below), whose sum is σ = 291726864. Its totient is φ = 34207680.

The previous prime is 103431257. The next prime is 103431319. The reversal of 103431312 is 213134301.

103431312 is a `hidden beast` number, since 10 + 343 + 1 + 312 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (103431319) 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 11 ways as a sum of consecutive naturals, for example, 16123 + ... + 21605.

Almost surely, 2^103431312 is an apocalyptic number.

103431312 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 103431312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145863432).

103431312 is an abundant number, since it is smaller than the sum of its proper divisors (188295552).

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

103431312 is a wasteful number, since it uses less digits than its factorization.

103431312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5628 (or 5619 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 103431312 is about 10170.1185833794. The cubic root of 103431312 is about 469.4082064246.

Adding to 103431312 its reverse (213134301), we get a palindrome (316565613).

The spelling of 103431312 in words is "one hundred three million, four hundred thirty-one thousand, three hundred twelve".