105221601 has 24 divisors (see below), whose sum is σ = 162032000. Its totient is φ = 65606112.

The previous prime is 105221593. The next prime is 105221609. The reversal of 105221601 is 106122501.

105221601 is a `hidden beast` number, since 10 + 52 + 2 + 1 + 601 = 666.

It is an interprime number because it is at equal distance from previous prime (105221593) and next prime (105221609).

It is not a de Polignac number, because 105221601 - 2³ = 105221593 is a prime.

It is a super-2 number, since 2×105221601² = 22143170634006402, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105221609) 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 23 ways as a sum of consecutive naturals, for example, 9615 + ... + 17403.

Almost surely, 2^105221601 is an apocalyptic number.

It is an amenable number.

105221601 is a deficient number, since it is larger than the sum of its proper divisors (56810399).

105221601 is a wasteful number, since it uses less digits than its factorization.

105221601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7893 (or 7890 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 105221601 is about 10257.7580883934. The cubic root of 105221601 is about 472.1010523487.

The spelling of 105221601 in words is "one hundred five million, two hundred twenty-one thousand, six hundred one".