44106100461 has 12 divisors (see below), whose sum is σ = 64581536188. Its totient is φ = 29001271104.

The previous prime is 44106100417. The next prime is 44106100501. The reversal of 44106100461 is 16400160144.

44106100461 is a `hidden beast` number, since 4 + 4 + 1 + 0 + 610 + 0 + 46 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10589644836 + 33516455625 = 102906^2 + 183075^2 .

It is not a de Polignac number, because 44106100461 - 2⁹ = 44106099949 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44106100561) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33565630 + ... + 33566943.

Almost surely, 2^44106100461 is an apocalyptic number.

It is an amenable number.

44106100461 is a deficient number, since it is larger than the sum of its proper divisors (20475435727).

44106100461 is a wasteful number, since it uses less digits than its factorization.

44106100461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67132652 (or 67132649 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 44106100461 in words is "forty-four billion, one hundred six million, one hundred thousand, four hundred sixty-one".