106875 has 30 divisors (see below), whose sum is σ = 203060. Its totient is φ = 54000.

The previous prime is 106871. The next prime is 106877. The reversal of 106875 is 578601.

It is not a de Polignac number, because 106875 - 2² = 106871 is a prime.

It is a super-2 number, since 2×106875² = 22844531250, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 106875.

It is not an unprimeable number, because it can be changed into a prime (106871) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 5616 + ... + 5634.

2¹⁰⁶⁸⁷⁵ is an apocalyptic number.

106875 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106875 is a deficient number, since it is larger than the sum of its proper divisors (96185).

106875 is an equidigital number, since it uses as much as digits as its factorization.

106875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 106875 is about 326.9174207656. The cubic root of 106875 is about 47.4560997901.

It can be divided in two parts, 10687 and 5, that multiplied together give a palindrome (53435).

The spelling of 106875 in words is "one hundred six thousand, eight hundred seventy-five".