105105835 has 16 divisors (see below), whose sum is σ = 128434176. Its totient is φ = 82561248.

The previous prime is 105105829. The next prime is 105105857. The reversal of 105105835 is 538501501.

It is a cyclic number.

It is not a de Polignac number, because 105105835 - 2⁹ = 105105323 is a prime.

It is a super-2 number, since 2×105105835² = 22094473102094450, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64602 + ... + 66208.

It is an arithmetic number, because the mean of its divisors is an integer number (8027136).

Almost surely, 2^105105835 is an apocalyptic number.

105105835 is a deficient number, since it is larger than the sum of its proper divisors (23328341).

105105835 is a wasteful number, since it uses less digits than its factorization.

105105835 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1842.

The product of its (nonzero) digits is 3000, while the sum is 28.

The square root of 105105835 is about 10252.1136845043. The cubic root of 105105835 is about 471.9278518349.

The spelling of 105105835 in words is "one hundred five million, one hundred five thousand, eight hundred thirty-five".