105132001 has 4 divisors (see below), whose sum is σ = 113219092. Its totient is φ = 97044912.

The previous prime is 105131993. The next prime is 105132017. The reversal of 105132001 is 100231501.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 13432225 + 91699776 = 3665^2 + 9576^2 .

It is a cyclic number.

It is not a de Polignac number, because 105132001 - 2³ = 105131993 is a prime.

It is a super-2 number, since 2×105132001² = 22105475268528002, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13), and also a Moran number because the ratio is a prime number: 8087077 = 105132001 / (1 + 0 + 5 + 1 + 3 + 2 + 0 + 0 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105132031) 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 3 ways as a sum of consecutive naturals, for example, 4043526 + ... + 4043551.

It is an arithmetic number, because the mean of its divisors is an integer number (28304773).

Almost surely, 2^105132001 is an apocalyptic number.

It is an amenable number.

105132001 is a deficient number, since it is larger than the sum of its proper divisors (8087091).

105132001 is an equidigital number, since it uses as much as digits as its factorization.

105132001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8087090.

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 105132001 is about 10253.3897321813. The cubic root of 105132001 is about 471.9670105857.

Adding to 105132001 its reverse (100231501), we get a palindrome (205363502).

The spelling of 105132001 in words is "one hundred five million, one hundred thirty-two thousand, one".