5968105 has 32 divisors (see below), whose sum is σ = 8926848. Its totient is φ = 3763200.

The previous prime is 5968103. The next prime is 5968121. The reversal of 5968105 is 5018695.

It is not a de Polignac number, because 5968105 - 2¹ = 5968103 is a prime.

It is a Duffinian number.

5968105 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (5968103) 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 31 ways as a sum of consecutive naturals, for example, 11910 + ... + 12400.

It is an arithmetic number, because the mean of its divisors is an integer number (278964).

Almost surely, 2^5968105 is an apocalyptic number.

5968105 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5968105 is a deficient number, since it is larger than the sum of its proper divisors (2958743).

5968105 is a wasteful number, since it uses less digits than its factorization.

5968105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537.

The product of its (nonzero) digits is 10800, while the sum is 34.

The square root of 5968105 is about 2442.9705278615. The cubic root of 5968105 is about 181.3895033812.

It can be divided in two parts, 5968 and 105, that multiplied together give a triangular number (626640 = T₁₁₁₉).

The spelling of 5968105 in words is "five million, nine hundred sixty-eight thousand, one hundred five".