105566417 has 8 divisors (see below), whose sum is σ = 117052032. Its totient is φ = 94395600.

The previous prime is 105566411. The next prime is 105566429. The reversal of 105566417 is 714665501.

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 105566417 - 2⁴ = 105566401 is a prime.

It is a super-2 number, since 2×105566417² = 22288536796435778, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105566411) 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, 77993 + ... + 79334.

It is an arithmetic number, because the mean of its divisors is an integer number (14631504).

Almost surely, 2^105566417 is an apocalyptic number.

It is an amenable number.

105566417 is a deficient number, since it is larger than the sum of its proper divisors (11485615).

105566417 is a wasteful number, since it uses less digits than its factorization.

105566417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157399.

The product of its (nonzero) digits is 25200, while the sum is 35.

The square root of 105566417 is about 10274.5519123707. The cubic root of 105566417 is about 472.6161889643.

The spelling of 105566417 in words is "one hundred five million, five hundred sixty-six thousand, four hundred seventeen".