106635 has 8 divisors (see below), whose sum is σ = 170640. Its totient is φ = 56864.

The previous prime is 106627. The next prime is 106637. The reversal of 106635 is 536601.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106635 - 2³ = 106627 is a prime.

It is a super-2 number, since 2×106635² = 22742046450, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3540 + ... + 3569.

It is an arithmetic number, because the mean of its divisors is an integer number (21330).

2¹⁰⁶⁶³⁵ is an apocalyptic number.

106635 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106635 is a deficient number, since it is larger than the sum of its proper divisors (64005).

106635 is an equidigital number, since it uses as much as digits as its factorization.

106635 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7117.

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 106635 is about 326.5501492880. The cubic root of 106635 is about 47.4205504723.

It can be divided in two parts, 106 and 635, that added together give a triangular number (741 = T₃₈).

The spelling of 106635 in words is "one hundred six thousand, six hundred thirty-five".