105610610601 has 12 divisors (see below), whose sum is σ = 152556839812. Its totient is φ = 70403298336.

The previous prime is 105610610587. The next prime is 105610610653. The reversal of 105610610601 is 106016016501.

105610610601 is a `hidden beast` number, since 1 + 0 + 56 + 1 + 0 + 6 + 1 + 0 + 601 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 70585862400 + 35024748201 = 265680^2 + 187149^2 .

It is not a de Polignac number, because 105610610601 - 2¹¹ = 105610608553 is a prime.

It is a super-2 number, since 2×105610610601² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105610610681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 131866 + ... + 478131.

Almost surely, 2^105610610601 is an apocalyptic number.

It is an amenable number.

105610610601 is a deficient number, since it is larger than the sum of its proper divisors (46946229211).

105610610601 is a wasteful number, since it uses less digits than its factorization.

105610610601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629240 (or 629237 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 105610610601 in words is "one hundred five billion, six hundred ten million, six hundred ten thousand, six hundred one".