105042001 has 9 divisors (see below), whose sum is σ = 108348849. Its totient is φ = 101834064.

The previous prime is 105041977. The next prime is 105042017. The reversal of 105042001 is 100240501.

The square root of 105042001 is 10249.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1002001 + 104040000 = 1001^2 + 10200^2 .

It is not a de Polignac number, because 105042001 - 2⁵ = 105041969 is a prime.

It is a super-2 number, since 2×105042001² = 22067643948168002, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105042701) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 379075 + ... + 379351.

It is an arithmetic number, because the mean of its divisors is an integer number (12038761).

Almost surely, 2^105042001 is an apocalyptic number.

105042001 is the 10249-th square number.

105042001 is the 5125-th centered octagonal number.

It is an amenable number.

105042001 is a deficient number, since it is larger than the sum of its proper divisors (3306848).

105042001 is an frugal number, since it uses more digits than its factorization.

105042001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The cubic root of 105042001 is about 471.8322937302.

Adding to 105042001 its reverse (100240501), we get a palindrome (205282502).

The spelling of 105042001 in words is "one hundred five million, forty-two thousand, one".