105106935 has 16 divisors (see below), whose sum is σ = 169384320. Its totient is φ = 55652640.

The previous prime is 105106931. The next prime is 105106951. The reversal of 105106935 is 539601501.

It is not a de Polignac number, because 105106935 - 2² = 105106931 is a prime.

It is a super-2 number, since 2×105106935² = 22094935570188450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105106931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23121 + ... + 27290.

It is an arithmetic number, because the mean of its divisors is an integer number (10586520).

Almost surely, 2^105106935 is an apocalyptic number.

105106935 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105106935 is a deficient number, since it is larger than the sum of its proper divisors (64277385).

105106935 is a wasteful number, since it uses less digits than its factorization.

105106935 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50558.

The product of its (nonzero) digits is 4050, while the sum is 30.

The square root of 105106935 is about 10252.1673318377. The cubic root of 105106935 is about 471.9294981718.

The spelling of 105106935 in words is "one hundred five million, one hundred six thousand, nine hundred thirty-five".