35106 has 8 divisors (see below), whose sum is σ = 70224. Its totient is φ = 11700.

The previous prime is 35099. The next prime is 35107. The reversal of 35106 is 60153.

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

35106 is an admirable number.

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 35106.

It is not an unprimeable number, because it can be changed into a prime (35107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2920 + ... + 2931.

It is an arithmetic number, because the mean of its divisors is an integer number (8778).

2³⁵¹⁰⁶ is an apocalyptic number.

35106 is the 119-th centered pentagonal number.

35106 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35112).

35106 is a wasteful number, since it uses less digits than its factorization.

35106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5856.

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 35106 is about 187.3659520831. The cubic root of 35106 is about 32.7436520144.

Adding to 35106 its reverse (60153), we get a palindrome (95259).

It can be divided in two parts, 35 and 106, that added together give a palindrome (141).

The spelling of 35106 in words is "thirty-five thousand, one hundred six".