103350312 has 96 divisors (see below), whose sum is σ = 304504200. Its totient is φ = 31477248.

The previous prime is 103350307. The next prime is 103350319. The reversal of 103350312 is 213053301.

103350312 is a `hidden beast` number, since 1 + 0 + 3 + 350 + 312 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 44275716 + 59074596 = 6654^2 + 7686^2 .

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 (103350319) 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 23 ways as a sum of consecutive naturals, for example, 101518 + ... + 102530.

Almost surely, 2^103350312 is an apocalyptic number.

103350312 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 103350312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152252100).

103350312 is an abundant number, since it is smaller than the sum of its proper divisors (201153888).

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

103350312 is a wasteful number, since it uses less digits than its factorization.

103350312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 103350312 is about 10166.1355489684. The cubic root of 103350312 is about 469.2856387879.

The spelling of 103350312 in words is "one hundred three million, three hundred fifty thousand, three hundred twelve".