105133405 has 8 divisors (see below), whose sum is σ = 135864792. Its totient is φ = 77636928.

The previous prime is 105133393. The next prime is 105133417. The reversal of 105133405 is 504331501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105133393) and next prime (105133417).

It can be written as a sum of positive squares in 4 ways, for example, as 4853209 + 100280196 = 2203^2 + 10014^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 105133405 - 2⁵ = 105133373 is a prime.

It is a super-2 number, since 2×105133405² = 22106065693788050, which contains 22 as substring.

It is a Duffinian number.

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 7 ways as a sum of consecutive naturals, for example, 808654 + ... + 808783.

It is an arithmetic number, because the mean of its divisors is an integer number (16983099).

Almost surely, 2^105133405 is an apocalyptic number.

It is an amenable number.

105133405 is a deficient number, since it is larger than the sum of its proper divisors (30731387).

105133405 is a wasteful number, since it uses less digits than its factorization.

105133405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1617455.

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 105133405 is about 10253.4581971157. The cubic root of 105133405 is about 471.9691115595.

Adding to 105133405 its reverse (504331501), we get a palindrome (609464906).

The spelling of 105133405 in words is "one hundred five million, one hundred thirty-three thousand, four hundred five".