103347664 has 60 divisors (see below), whose sum is σ = 236855748. Its totient is φ = 43545600.

The previous prime is 103347661. The next prime is 103347683. The reversal of 103347664 is 466743301.

It can be written as a sum of positive squares in 2 ways, for example, as 28005264 + 75342400 = 5292^2 + 8680^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103347661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46744 + ... + 48904.

Almost surely, 2^103347664 is an apocalyptic number.

103347664 is a gapful number since it is divisible by the number (14) 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 103347664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118427874).

103347664 is an abundant number, since it is smaller than the sum of its proper divisors (133508084).

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

103347664 is a wasteful number, since it uses less digits than its factorization.

103347664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2244 (or 2231 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 34.

The square root of 103347664 is about 10166.0053118223. The cubic root of 103347664 is about 469.2816308045.

The spelling of 103347664 in words is "one hundred three million, three hundred forty-seven thousand, six hundred sixty-four".