10610105505561 has 12 divisors (see below), whose sum is σ = 15325746656688. Its totient is φ = 7073385806904.

The previous prime is 10610105505497. The next prime is 10610105505563. The reversal of 10610105505561 is 16550550101601.

It is a happy number.

It is not a de Polignac number, because 10610105505561 - 2⁶ = 10610105505497 is a prime.

It is a super-2 number, since 2×10610105505561² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10610105505563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2978686 + ... + 5485688.

It is an arithmetic number, because the mean of its divisors is an integer number (1277145554724).

Almost surely, 2^{10610105505561} is an apocalyptic number.

It is an amenable number.

10610105505561 is a deficient number, since it is larger than the sum of its proper divisors (4715641151127).

10610105505561 is a wasteful number, since it uses less digits than its factorization.

10610105505561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2977252 (or 2977249 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 36.

The spelling of 10610105505561 in words is "ten trillion, six hundred ten billion, one hundred five million, five hundred five thousand, five hundred sixty-one".