105123135 has 16 divisors (see below), whose sum is σ = 181135584. Its totient is φ = 51752832.

The previous prime is 105123127. The next prime is 105123157. The reversal of 105123135 is 531321501.

It is not a de Polignac number, because 105123135 - 2³ = 105123127 is a prime.

It is a super-2 number, since 2×105123135² = 22101747024456450, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 269352 + ... + 269741.

It is an arithmetic number, because the mean of its divisors is an integer number (11320974).

Almost surely, 2^105123135 is an apocalyptic number.

105123135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105123135 is a deficient number, since it is larger than the sum of its proper divisors (76012449).

105123135 is a wasteful number, since it uses less digits than its factorization.

105123135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539114.

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 105123135 is about 10252.9573782397. The cubic root of 105123135 is about 471.9537428933.

Adding to 105123135 its reverse (531321501), we get a palindrome (636444636).

The spelling of 105123135 in words is "one hundred five million, one hundred twenty-three thousand, one hundred thirty-five".