106485 has 16 divisors (see below), whose sum is σ = 176640. Its totient is φ = 54720.

The previous prime is 106453. The next prime is 106487. The reversal of 106485 is 584601.

It is not a de Polignac number, because 106485 - 2⁵ = 106453 is a prime.

It is a super-2 number, since 2×106485² = 22678110450, which contains 22 as substring.

106485 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 106485.

It is not an unprimeable number, because it can be changed into a prime (106487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 351 + ... + 579.

It is an arithmetic number, because the mean of its divisors is an integer number (11040).

2¹⁰⁶⁴⁸⁵ is an apocalyptic number.

106485 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106485 is a deficient number, since it is larger than the sum of its proper divisors (70155).

106485 is a wasteful number, since it uses less digits than its factorization.

106485 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268.

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 106485 is about 326.3203947043. The cubic root of 106485 is about 47.3983050543.

The spelling of 106485 in words is "one hundred six thousand, four hundred eighty-five".