6105610101105 has 48 divisors (see below), whose sum is σ = 10612559477520. Its totient is φ = 3247249734144.

The previous prime is 6105610100987. The next prime is 6105610101113. The reversal of 6105610101105 is 5011010165016.

It can be written as a sum of positive squares in 8 ways, for example, as 526570825104 + 5579039276001 = 725652^2 + 2361999^2 .

It is not a de Polignac number, because 6105610101105 - 2⁷ = 6105610100977 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 269706847 + ... + 269729483.

It is an arithmetic number, because the mean of its divisors is an integer number (221094989115).

Almost surely, 2^{6105610101105} is an apocalyptic number.

It is an amenable number.

6105610101105 is a deficient number, since it is larger than the sum of its proper divisors (4506949376415).

6105610101105 is a wasteful number, since it uses less digits than its factorization.

6105610101105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39090 (or 39087 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

The spelling of 6105610101105 in words is "six trillion, one hundred five billion, six hundred ten million, one hundred one thousand, one hundred five".