105275409 has 16 divisors (see below), whose sum is σ = 148039680. Its totient is φ = 66361680.

The previous prime is 105275377. The next prime is 105275419. The reversal of 105275409 is 904572501.

It is not a de Polignac number, because 105275409 - 2⁵ = 105275377 is a prime.

It is a super-2 number, since 2×105275409² = 22165823480234562, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105275409.

It is not an unprimeable number, because it can be changed into a prime (105275419) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34504 + ... + 37430.

It is an arithmetic number, because the mean of its divisors is an integer number (9252480).

Almost surely, 2^105275409 is an apocalyptic number.

105275409 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

105275409 is a deficient number, since it is larger than the sum of its proper divisors (42764271).

105275409 is a wasteful number, since it uses less digits than its factorization.

105275409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3580.

The product of its (nonzero) digits is 12600, while the sum is 33.

The square root of 105275409 is about 10260.3805484982. The cubic root of 105275409 is about 472.1815126480.

The spelling of 105275409 in words is "one hundred five million, two hundred seventy-five thousand, four hundred nine".