103003967 has 8 divisors (see below), whose sum is σ = 115405392. Its totient is φ = 91108800.

The previous prime is 103003937. The next prime is 103003973. The reversal of 103003967 is 769300301.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 103003967 - 2¹⁰ = 103002943 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103003937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126134 + ... + 126947.

It is an arithmetic number, because the mean of its divisors is an integer number (14425674).

Almost surely, 2^103003967 is an apocalyptic number.

103003967 is a deficient number, since it is larger than the sum of its proper divisors (12401425).

103003967 is a wasteful number, since it uses less digits than its factorization.

103003967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253129.

The product of its (nonzero) digits is 3402, while the sum is 29.

The square root of 103003967 is about 10149.0870032728. The cubic root of 103003967 is about 468.7608326504.

The spelling of 103003967 in words is "one hundred three million, three thousand, nine hundred sixty-seven".