105606465 has 64 divisors (see below), whose sum is σ = 191600640. Its totient is φ = 49351680.

The previous prime is 105606463. The next prime is 105606497. The reversal of 105606465 is 564606501.

It is not a de Polignac number, because 105606465 - 2¹ = 105606463 is a prime.

It is a super-3 number, since 3×105606465³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (105606463) 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 63 ways as a sum of consecutive naturals, for example, 343842 + ... + 344148.

It is an arithmetic number, because the mean of its divisors is an integer number (2993760).

Almost surely, 2^105606465 is an apocalyptic number.

105606465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105606465 is a deficient number, since it is larger than the sum of its proper divisors (85994175).

105606465 is a wasteful number, since it uses less digits than its factorization.

105606465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422.

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 105606465 is about 10276.5006203474. The cubic root of 105606465 is about 472.6759457845.

The spelling of 105606465 in words is "one hundred five million, six hundred six thousand, four hundred sixty-five".