105150135 has 32 divisors (see below), whose sum is σ = 178214400. Its totient is φ = 52829568.

The previous prime is 105150131. The next prime is 105150169. The reversal of 105150135 is 531051501.

It is not a de Polignac number, because 105150135 - 2² = 105150131 is a prime.

It is a super-2 number, since 2×105150135² = 22113101781036450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105150131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20841 + ... + 25389.

It is an arithmetic number, because the mean of its divisors is an integer number (5569200).

Almost surely, 2^105150135 is an apocalyptic number.

105150135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105150135 is a deficient number, since it is larger than the sum of its proper divisors (73064265).

105150135 is a wasteful number, since it uses less digits than its factorization.

105150135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4647.

The product of its (nonzero) digits is 375, while the sum is 21.

The square root of 105150135 is about 10254.2739869773. The cubic root of 105150135 is about 471.9941452281.

The spelling of 105150135 in words is "one hundred five million, one hundred fifty thousand, one hundred thirty-five".