106605345 has 64 divisors (see below), whose sum is σ = 221958144. Its totient is φ = 42366720.

The previous prime is 106605337. The next prime is 106605347. The reversal of 106605345 is 543506601.

It is not a de Polignac number, because 106605345 - 2³ = 106605337 is a prime.

It is a super-2 number, since 2×106605345² = 22729399165138050, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (106605347) 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, 24559 + ... + 28571.

It is an arithmetic number, because the mean of its divisors is an integer number (3468096).

Almost surely, 2^106605345 is an apocalyptic number.

106605345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106605345 is an abundant number, since it is smaller than the sum of its proper divisors (115352799).

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

106605345 is a wasteful number, since it uses less digits than its factorization.

106605345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4062.

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 106605345 is about 10324.9864406691. The cubic root of 106605345 is about 474.1615420836.

The spelling of 106605345 in words is "one hundred six million, six hundred five thousand, three hundred forty-five".