105352409 has 8 divisors (see below), whose sum is σ = 106404480. Its totient is φ = 104304816.

The previous prime is 105352399. The next prime is 105352433. The reversal of 105352409 is 904253501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105352409 - 2⁸ = 105352153 is a prime.

It is a super-2 number, since 2×105352409² = 22198260164206562, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105352309) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63539 + ... + 65175.

It is an arithmetic number, because the mean of its divisors is an integer number (13300560).

Almost surely, 2^105352409 is an apocalyptic number.

It is an amenable number.

105352409 is a deficient number, since it is larger than the sum of its proper divisors (1052071).

105352409 is a wasteful number, since it uses less digits than its factorization.

105352409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2239.

The product of its (nonzero) digits is 5400, while the sum is 29.

The square root of 105352409 is about 10264.1321601000. The cubic root of 105352409 is about 472.2966047863.

The spelling of 105352409 in words is "one hundred five million, three hundred fifty-two thousand, four hundred nine".