105797409 has 12 divisors (see below), whose sum is σ = 149850384. Its totient is φ = 66382144.

The previous prime is 105797407. The next prime is 105797411. The reversal of 105797409 is 904797501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105797407) and next prime (105797411).

It is not a de Polignac number, because 105797409 - 2¹ = 105797407 is a prime.

It is a super-2 number, since 2×105797409² = 22386183502226562, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105797407) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 60147 + ... + 61880.

It is an arithmetic number, because the mean of its divisors is an integer number (12487532).

Almost surely, 2^105797409 is an apocalyptic number.

It is an amenable number.

105797409 is a deficient number, since it is larger than the sum of its proper divisors (44052975).

105797409 is a wasteful number, since it uses less digits than its factorization.

105797409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122064 (or 122047 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 42.

The square root of 105797409 is about 10285.7867467686. The cubic root of 105797409 is about 472.9606515070.

The spelling of 105797409 in words is "one hundred five million, seven hundred ninety-seven thousand, four hundred nine".