105207201 has 24 divisors (see below), whose sum is σ = 171325280. Its totient is φ = 63759960.

The previous prime is 105207143. The next prime is 105207229. The reversal of 105207201 is 102702501.

It is not a de Polignac number, because 105207201 - 2¹¹ = 105205153 is a prime.

It is a super-2 number, since 2×105207201² = 22137110284508802, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105207251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12835 + ... + 19368.

Almost surely, 2^105207201 is an apocalyptic number.

105207201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105207201 is a deficient number, since it is larger than the sum of its proper divisors (66118079).

105207201 is a wasteful number, since it uses less digits than its factorization.

105207201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32234 (or 32217 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 105207201 is about 10257.0561566173. The cubic root of 105207201 is about 472.0795150559.

Adding to 105207201 its reverse (102702501), we get a palindrome (207909702).

The spelling of 105207201 in words is "one hundred five million, two hundred seven thousand, two hundred one".