105604414461 has 24 divisors (see below), whose sum is σ = 187741182720. Its totient is φ = 55703426976.

The previous prime is 105604414459. The next prime is 105604414493. The reversal of 105604414461 is 164414406501.

105604414461 is a `hidden beast` number, since 1 + 0 + 5 + 604 + 4 + 1 + 4 + 46 + 1 = 666.

It is not a de Polignac number, because 105604414461 - 2¹ = 105604414459 is a prime.

It is a super-2 number, since 2×105604414461² (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 (105604414441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64470741 + ... + 64472378.

It is an arithmetic number, because the mean of its divisors is an integer number (7822549280).

Almost surely, 2^105604414461 is an apocalyptic number.

It is an amenable number.

105604414461 is a deficient number, since it is larger than the sum of its proper divisors (82136768259).

105604414461 is a wasteful number, since it uses less digits than its factorization.

105604414461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128943145 (or 128943142 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 105604414461 in words is "one hundred five billion, six hundred four million, four hundred fourteen thousand, four hundred sixty-one".