105776004213 has 72 divisors (see below), whose sum is σ = 169936286520. Its totient is φ = 63347961600.

The previous prime is 105776004197. The next prime is 105776004241. The reversal of 105776004213 is 312400677501.

It is a happy number.

105776004213 is a `hidden beast` number, since 1 + 0 + 5 + 7 + 7 + 600 + 42 + 1 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 23841521649 + 81934482564 = 154407^2 + 286242^2 .

It is not a de Polignac number, because 105776004213 - 2⁴ = 105776004197 is a prime.

It is a super-2 number, since 2×105776004213² (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 (105776004253) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 54720195 + ... + 54722127.

Almost surely, 2^105776004213 is an apocalyptic number.

It is an amenable number.

105776004213 is a deficient number, since it is larger than the sum of its proper divisors (64160282307).

105776004213 is a wasteful number, since it uses less digits than its factorization.

105776004213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2531 (or 2517 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 105776004213 in words is "one hundred five billion, seven hundred seventy-six million, four thousand, two hundred thirteen".