105120004101 has 16 divisors (see below), whose sum is σ = 169605385344. Its totient is φ = 56535128064.

The previous prime is 105120004039. The next prime is 105120004111. The reversal of 105120004101 is 101400021501.

It is a happy number.

It is not a de Polignac number, because 105120004101 - 2⁶ = 105120004037 is a prime.

It is a super-2 number, since 2×105120004101² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105120004111) 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, 147226540 + ... + 147227253.

It is an arithmetic number, because the mean of its divisors is an integer number (10600336584).

Almost surely, 2^105120004101 is an apocalyptic number.

It is an amenable number.

105120004101 is a deficient number, since it is larger than the sum of its proper divisors (64485381243).

105120004101 is a wasteful number, since it uses less digits than its factorization.

105120004101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294453820.

The product of its (nonzero) digits is 40, while the sum is 15.

Adding to 105120004101 its reverse (101400021501), we get a palindrome (206520025602).

The spelling of 105120004101 in words is "one hundred five billion, one hundred twenty million, four thousand, one hundred one".