105880409 has 6 divisors (see below), whose sum is σ = 108530394. Its totient is φ = 103233680.

The previous prime is 105880393. The next prime is 105880417. The reversal of 105880409 is 904088501.

It can be written as a sum of positive squares in only one way, i.e., 64561225 + 41319184 = 8035^2 + 6428^2 .

It is not a de Polignac number, because 105880409 - 2⁴ = 105880393 is a prime.

It is a super-2 number, since 2×105880409² = 22421322020014562, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105880499) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 65084 + ... + 66690.

It is an arithmetic number, because the mean of its divisors is an integer number (18088399).

Almost surely, 2^105880409 is an apocalyptic number.

It is an amenable number.

105880409 is a deficient number, since it is larger than the sum of its proper divisors (2649985).

105880409 is an frugal number, since it uses more digits than its factorization.

105880409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3255 (or 1648 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 35.

The square root of 105880409 is about 10289.8206495546. The cubic root of 105880409 is about 473.0843012677.

The spelling of 105880409 in words is "one hundred five million, eight hundred eighty thousand, four hundred nine".