105288601 has 8 divisors (see below), whose sum is σ = 117304704. Its totient is φ = 93679920.

The previous prime is 105288563. The next prime is 105288607. The reversal of 105288601 is 106882501.

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 105288601 - 2¹¹ = 105286553 is a prime.

It is a super-2 number, since 2×105288601² = 22171379001074402, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105288607) 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 7 ways as a sum of consecutive naturals, for example, 101310 + ... + 102343.

It is an arithmetic number, because the mean of its divisors is an integer number (14663088).

Almost surely, 2^105288601 is an apocalyptic number.

105288601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105288601 is a deficient number, since it is larger than the sum of its proper divisors (12016103).

105288601 is a wasteful number, since it uses less digits than its factorization.

105288601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203711.

The product of its (nonzero) digits is 3840, while the sum is 31.

The square root of 105288601 is about 10261.0233895065. The cubic root of 105288601 is about 472.2012347540.

The spelling of 105288601 in words is "one hundred five million, two hundred eighty-eight thousand, six hundred one".