106591965 has 16 divisors (see below), whose sum is σ = 176428800. Its totient is φ = 54888512.

The previous prime is 106591951. The next prime is 106591967. The reversal of 106591965 is 569195601.

It is a cyclic number.

It is not a de Polignac number, because 106591965 - 2²⁴ = 89814749 is a prime.

It is a super-2 number, since 2×106591965² = 22723694005122450, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106591967) 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 15 ways as a sum of consecutive naturals, for example, 122085 + ... + 122954.

It is an arithmetic number, because the mean of its divisors is an integer number (11026800).

Almost surely, 2^106591965 is an apocalyptic number.

106591965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106591965 is a deficient number, since it is larger than the sum of its proper divisors (69836835).

106591965 is a wasteful number, since it uses less digits than its factorization.

106591965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245076.

The product of its (nonzero) digits is 72900, while the sum is 42.

The square root of 106591965 is about 10324.3384775975. The cubic root of 106591965 is about 474.1417039698.

The spelling of 106591965 in words is "one hundred six million, five hundred ninety-one thousand, nine hundred sixty-five".