2005537646105 has 32 divisors (see below), whose sum is σ = 2826555471360. Its totient is φ = 1337220403200.

The previous prime is 2005537646093. The next prime is 2005537646129. The reversal of 2005537646105 is 5016467355002.

It is a happy number.

It is not a de Polignac number, because 2005537646105 - 2⁴ = 2005537646089 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1589636 + ... + 2556954.

It is an arithmetic number, because the mean of its divisors is an integer number (88329858480).

Almost surely, 2^{2005537646105} is an apocalyptic number.

It is an amenable number.

2005537646105 is a deficient number, since it is larger than the sum of its proper divisors (821017825255).

2005537646105 is a wasteful number, since it uses less digits than its factorization.

2005537646105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968969.

The product of its (nonzero) digits is 756000, while the sum is 44.

The spelling of 2005537646105 in words is "two trillion, five billion, five hundred thirty-seven million, six hundred forty-six thousand, one hundred five".