105034400405 has 16 divisors (see below), whose sum is σ = 138034615104. Its totient is φ = 76091412480.

The previous prime is 105034400389. The next prime is 105034400411. The reversal of 105034400405 is 504004430501.

It is not a de Polignac number, because 105034400405 - 2⁴ = 105034400389 is a prime.

It is a super-2 number, since 2×105034400405² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3701267 + ... + 3729536.

It is an arithmetic number, because the mean of its divisors is an integer number (8627163444).

Almost surely, 2^105034400405 is an apocalyptic number.

It is an amenable number.

105034400405 is a deficient number, since it is larger than the sum of its proper divisors (33000214699).

105034400405 is a wasteful number, since it uses less digits than its factorization.

105034400405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7431076.

The product of its (nonzero) digits is 4800, while the sum is 26.

Adding to 105034400405 its reverse (504004430501), we get a palindrome (609038830906).

The spelling of 105034400405 in words is "one hundred five billion, thirty-four million, four hundred thousand, four hundred five".