105688201 has 16 divisors (see below), whose sum is σ = 116838288. Its totient is φ = 95180800.

The previous prime is 105688199. The next prime is 105688211. The reversal of 105688201 is 102886501.

It can be written as a sum of positive squares in 8 ways, for example, as 9801 + 105678400 = 99^2 + 10280^2 .

It is a cyclic number.

It is not a de Polignac number, because 105688201 - 2¹ = 105688199 is a prime.

It is a super-2 number, since 2×105688201² = 22339991661232802, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105688211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35511 + ... + 38371.

It is an arithmetic number, because the mean of its divisors is an integer number (7302393).

Almost surely, 2^105688201 is an apocalyptic number.

It is an amenable number.

105688201 is a deficient number, since it is larger than the sum of its proper divisors (11150087).

105688201 is a wasteful number, since it uses less digits than its factorization.

105688201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2972.

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

The square root of 105688201 is about 10280.4766912824. The cubic root of 105688201 is about 472.7978596530.

It can be divided in two parts, 10568 and 8201, that added together give a square (18769 = 137²).

The spelling of 105688201 in words is "one hundred five million, six hundred eighty-eight thousand, two hundred one".