106909175 has 24 divisors (see below), whose sum is σ = 146481696. Its totient is φ = 76989440.

The previous prime is 106909151. The next prime is 106909177. The reversal of 106909175 is 571909601.

It is not a de Polignac number, because 106909175 - 2¹⁸ = 106647031 is a prime.

It is a super-2 number, since 2×106909175² = 22859143398361250, which contains 22 as substring.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106909177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4307 + ... + 15243.

It is an arithmetic number, because the mean of its divisors is an integer number (6103404).

Almost surely, 2^106909175 is an apocalyptic number.

106909175 is a deficient number, since it is larger than the sum of its proper divisors (39572521).

106909175 is a wasteful number, since it uses less digits than its factorization.

106909175 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10987 (or 10982 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 38.

The square root of 106909175 is about 10339.6893086785. The cubic root of 106909175 is about 474.6115753478.

The spelling of 106909175 in words is "one hundred six million, nine hundred nine thousand, one hundred seventy-five".