105180409 has 16 divisors (see below), whose sum is σ = 113464960. Its totient is φ = 97200000.

The previous prime is 105180401. The next prime is 105180431. The reversal of 105180409 is 904081501.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 105180409 - 2³ = 105180401 is a prime.

It is a super-2 number, since 2×105180409² = 22125836874814562, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105180401) 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, 174709 + ... + 175309.

It is an arithmetic number, because the mean of its divisors is an integer number (7091560).

Almost surely, 2^105180409 is an apocalyptic number.

105180409 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

105180409 is a deficient number, since it is larger than the sum of its proper divisors (8284551).

105180409 is a wasteful number, since it uses less digits than its factorization.

105180409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832.

The product of its (nonzero) digits is 1440, while the sum is 28.

The square root of 105180409 is about 10255.7500457061. The cubic root of 105180409 is about 472.0394384957.

The spelling of 105180409 in words is "one hundred five million, one hundred eighty thousand, four hundred nine".