106575105 has 64 divisors (see below), whose sum is σ = 211599360. Its totient is φ = 44603136.

The previous prime is 106575101. The next prime is 106575107. The reversal of 106575105 is 501575601.

It is not a de Polignac number, because 106575105 - 2² = 106575101 is a prime.

It is a super-2 number, since 2×106575105² = 22716506011522050, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (106575101) 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 63 ways as a sum of consecutive naturals, for example, 222256 + ... + 222734.

It is an arithmetic number, because the mean of its divisors is an integer number (3306240).

Almost surely, 2^106575105 is an apocalyptic number.

106575105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106575105 is a deficient number, since it is larger than the sum of its proper divisors (105024255).

106575105 is a wasteful number, since it uses less digits than its factorization.

106575105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670.

The product of its (nonzero) digits is 5250, while the sum is 30.

The square root of 106575105 is about 10323.5219281019. The cubic root of 106575105 is about 474.1167038032.

The spelling of 106575105 in words is "one hundred six million, five hundred seventy-five thousand, one hundred five".