105225405 has 32 divisors (see below), whose sum is σ = 173280384. Its totient is φ = 54502656.

The previous prime is 105225403. The next prime is 105225431. The reversal of 105225405 is 504522501.

It is a happy number.

It is not a de Polignac number, because 105225405 - 2¹ = 105225403 is a prime.

It is a super-2 number, since 2×105225405² = 22144771714828050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105225403) 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, 84447 + ... + 85683.

It is an arithmetic number, because the mean of its divisors is an integer number (5415012).

Almost surely, 2^105225405 is an apocalyptic number.

105225405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105225405 is a deficient number, since it is larger than the sum of its proper divisors (68054979).

105225405 is a wasteful number, since it uses less digits than its factorization.

105225405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405.

The product of its (nonzero) digits is 2000, while the sum is 24.

The square root of 105225405 is about 10257.9435073508. The cubic root of 105225405 is about 472.1067414555.

Adding to 105225405 its reverse (504522501), we get a palindrome (609747906).

The spelling of 105225405 in words is "one hundred five million, two hundred twenty-five thousand, four hundred five".