105768811407 has 32 divisors (see below), whose sum is σ = 163715973120. Its totient is φ = 59490534240.

The previous prime is 105768811361. The next prime is 105768811441. The reversal of 105768811407 is 704118867501.

It is not a de Polignac number, because 105768811407 - 2²⁰ = 105767762831 is a prime.

It is a super-2 number, since 2×105768811407² (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 (105768811487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 360394 + ... + 584312.

It is an arithmetic number, because the mean of its divisors is an integer number (5116124160).

Almost surely, 2^105768811407 is an apocalyptic number.

105768811407 is a deficient number, since it is larger than the sum of its proper divisors (57947161713).

105768811407 is a wasteful number, since it uses less digits than its factorization.

105768811407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224283.

The product of its (nonzero) digits is 376320, while the sum is 48.

The spelling of 105768811407 in words is "one hundred five billion, seven hundred sixty-eight million, eight hundred eleven thousand, four hundred seven".