105200001 has 12 divisors (see below), whose sum is σ = 152390628. Its totient is φ = 69932544.

The previous prime is 105199987. The next prime is 105200003. The reversal of 105200001 is 100002501.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 33628401 + 71571600 = 5799^2 + 8460^2 .

It is not a de Polignac number, because 105200001 - 2¹⁸ = 104937857 is a prime.

It is a super-2 number, since 2×105200001² = 22134080420800002, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (105200003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13380 + ... + 19733.

It is an arithmetic number, because the mean of its divisors is an integer number (12699219).

Almost surely, 2^105200001 is an apocalyptic number.

It is an amenable number.

105200001 is a deficient number, since it is larger than the sum of its proper divisors (47190627).

105200001 is a wasteful number, since it uses less digits than its factorization.

105200001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33472 (or 33469 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 105200001 is about 10256.7051727151. The cubic root of 105200001 is about 472.0687456725.

Adding to 105200001 its reverse (100002501), we get a palindrome (205202502).

The spelling of 105200001 in words is "one hundred five million, two hundred thousand, one".