105004101 has 16 divisors (see below), whose sum is σ = 142387200. Its totient is φ = 68817840.

The previous prime is 105004091. The next prime is 105004103. The reversal of 105004101 is 101400501.

It is a happy number.

It is not a de Polignac number, because 105004101 - 2¹⁹ = 104479813 is a prime.

It is a super-2 number, since 2×105004101² = 22051722453636402, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105004103) 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 15 ways as a sum of consecutive naturals, for example, 127176 + ... + 127998.

It is an arithmetic number, because the mean of its divisors is an integer number (8899200).

Almost surely, 2^105004101 is an apocalyptic number.

It is an amenable number.

105004101 is a deficient number, since it is larger than the sum of its proper divisors (37383099).

105004101 is an equidigital number, since it uses as much as digits as its factorization.

105004101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496.

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 105004101 is about 10247.1508723157. The cubic root of 105004101 is about 471.7755399400.

Adding to 105004101 its reverse (101400501), we get a palindrome (206404602).

The spelling of 105004101 in words is "one hundred five million, four thousand, one hundred one".