106125 has 16 divisors (see below), whose sum is σ = 177216. Its totient is φ = 56400.

The previous prime is 106123. The next prime is 106129. The reversal of 106125 is 521601.

It is not a de Polignac number, because 106125 - 2¹ = 106123 is a prime.

It is a super-2 number, since 2×106125² = 22525031250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

106125 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234 + ... + 516.

It is an arithmetic number, because the mean of its divisors is an integer number (11076).

2¹⁰⁶¹²⁵ is an apocalyptic number.

106125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106125 is a deficient number, since it is larger than the sum of its proper divisors (71091).

106125 is an equidigital number, since it uses as much as digits as its factorization.

106125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 106125 is about 325.7683225852. The cubic root of 106125 is about 47.3448306837.

Adding to 106125 its reverse (521601), we get a palindrome (627726).

It can be divided in two parts, 106 and 125, that added together give a triangular number (231 = T₂₁).

The spelling of 106125 in words is "one hundred six thousand, one hundred twenty-five".