107003424 has 96 divisors (see below), whose sum is σ = 309609216. Its totient is φ = 32088320.

The previous prime is 107003419. The next prime is 107003431. The reversal of 107003424 is 424300701.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×107003424² = 22899465495447552, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 107003424.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 112519 + ... + 113465.

It is an arithmetic number, because the mean of its divisors is an integer number (3225096).

Almost surely, 2^107003424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107003424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154804608).

107003424 is an abundant number, since it is smaller than the sum of its proper divisors (202605792).

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

107003424 is a wasteful number, since it uses less digits than its factorization.

107003424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 107003424 is about 10344.2459367515. The cubic root of 107003424 is about 474.7510037550.

The spelling of 107003424 in words is "one hundred seven million, three thousand, four hundred twenty-four".