106975 has 12 divisors (see below), whose sum is σ = 145080. Its totient is φ = 77600.

The previous prime is 106963. The next prime is 106979. The reversal of 106975 is 579601.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-106975 is a prime.

It is a super-2 number, since 2×106975² = 22887301250, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106979) 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 11 ways as a sum of consecutive naturals, for example, 81 + ... + 469.

It is an arithmetic number, because the mean of its divisors is an integer number (12090).

2¹⁰⁶⁹⁷⁵ is an apocalyptic number.

106975 is a deficient number, since it is larger than the sum of its proper divisors (38105).

106975 is a wasteful number, since it uses less digits than its factorization.

106975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 28.

The square root of 106975 is about 327.0703288285. The cubic root of 106975 is about 47.4708962990.

It can be divided in two parts, 106 and 975, that added together give a triangular number (1081 = T₄₆).

The spelling of 106975 in words is "one hundred six thousand, nine hundred seventy-five".